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Finding the Fourth Proportional to 912.74, 1,259.28 and 514.34

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Solution

The fourth proportional to 912.74, 1,259.28 and 514.34 is: 709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.74 : 1,259.28 = 514.34 : x
  2. Step 2: Convert to fraction form
    912.74/1,259.28 = 514.34/x
  3. Step 3: Cross multiply
    912.74x = 1,259.28 × 514.34
  4. Step 4: Simplify right side
    912.74x = 647,698.08
  5. Step 5: Solve for x
    x = 647,698.08/912.74
  6. Step 6: Final answer
    x = 709.62

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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.