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Finding the Fourth Proportional to 707.96, 1,061.31 and 275.02

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Solution

The fourth proportional to 707.96, 1,061.31 and 275.02 is: 412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.96 : 1,061.31 = 275.02 : x
  2. Step 2: Convert to fraction form
    707.96/1,061.31 = 275.02/x
  3. Step 3: Cross multiply
    707.96x = 1,061.31 × 275.02
  4. Step 4: Simplify right side
    707.96x = 291,881.48
  5. Step 5: Solve for x
    x = 291,881.48/707.96
  6. Step 6: Final answer
    x = 412.29

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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.