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Finding the Fourth Proportional to 708.18, 1,061.01 and 491.34

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Solution

The fourth proportional to 708.18, 1,061.01 and 491.34 is: 736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.18 : 1,061.01 = 491.34 : x
  2. Step 2: Convert to fraction form
    708.18/1,061.01 = 491.34/x
  3. Step 3: Cross multiply
    708.18x = 1,061.01 × 491.34
  4. Step 4: Simplify right side
    708.18x = 521,316.65
  5. Step 5: Solve for x
    x = 521,316.65/708.18
  6. Step 6: Final answer
    x = 736.14

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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.