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Finding the Fourth Proportional to 922.75, 1,273.41 and 508.75

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Solution

The fourth proportional to 922.75, 1,273.41 and 508.75 is: 702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.75 : 1,273.41 = 508.75 : x
  2. Step 2: Convert to fraction form
    922.75/1,273.41 = 508.75/x
  3. Step 3: Cross multiply
    922.75x = 1,273.41 × 508.75
  4. Step 4: Simplify right side
    922.75x = 647,847.34
  5. Step 5: Solve for x
    x = 647,847.34/922.75
  6. Step 6: Final answer
    x = 702.08

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.