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Finding the Fourth Proportional to 707.86, 1,061.34 and 383.14

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Solution

The fourth proportional to 707.86, 1,061.34 and 383.14 is: 574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.86 : 1,061.34 = 383.14 : x
  2. Step 2: Convert to fraction form
    707.86/1,061.34 = 383.14/x
  3. Step 3: Cross multiply
    707.86x = 1,061.34 × 383.14
  4. Step 4: Simplify right side
    707.86x = 406,641.81
  5. Step 5: Solve for x
    x = 406,641.81/707.86
  6. Step 6: Final answer
    x = 574.47

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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.