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Finding the Fourth Proportional to 807.41, 1,114.75 and 509.07

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Solution

The fourth proportional to 807.41, 1,114.75 and 509.07 is: 702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.41 : 1,114.75 = 509.07 : x
  2. Step 2: Convert to fraction form
    807.41/1,114.75 = 509.07/x
  3. Step 3: Cross multiply
    807.41x = 1,114.75 × 509.07
  4. Step 4: Simplify right side
    807.41x = 567,485.78
  5. Step 5: Solve for x
    x = 567,485.78/807.41
  6. Step 6: Final answer
    x = 702.85

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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.