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Finding the Fourth Proportional to 708.16, 1,061.62 and 383.16

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Solution

The fourth proportional to 708.16, 1,061.62 and 383.16 is: 574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.16 : 1,061.62 = 383.16 : x
  2. Step 2: Convert to fraction form
    708.16/1,061.62 = 383.16/x
  3. Step 3: Cross multiply
    708.16x = 1,061.62 × 383.16
  4. Step 4: Simplify right side
    708.16x = 406,770.32
  5. Step 5: Solve for x
    x = 406,770.32/708.16
  6. Step 6: Final answer
    x = 574.40

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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.