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Finding the Fourth Proportional to 713.16, 1,069.14 and 384

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Solution

The fourth proportional to 713.16, 1,069.14 and 384 is: 575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 1,069.14 = 384 : x
  2. Step 2: Convert to fraction form
    713.16/1,069.14 = 384/x
  3. Step 3: Cross multiply
    713.16x = 1,069.14 × 384
  4. Step 4: Simplify right side
    713.16x = 410,549.76
  5. Step 5: Solve for x
    x = 410,549.76/713.16
  6. Step 6: Final answer
    x = 575.68

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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.