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Finding the Fourth Proportional to 707.36, 1,061.26 and 502.33

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Solution

The fourth proportional to 707.36, 1,061.26 and 502.33 is: 753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.36 : 1,061.26 = 502.33 : x
  2. Step 2: Convert to fraction form
    707.36/1,061.26 = 502.33/x
  3. Step 3: Cross multiply
    707.36x = 1,061.26 × 502.33
  4. Step 4: Simplify right side
    707.36x = 533,102.74
  5. Step 5: Solve for x
    x = 533,102.74/707.36
  6. Step 6: Final answer
    x = 753.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.