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Finding the Fourth Proportional to 713.65, 1,069.71 and 466.76

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Solution

The fourth proportional to 713.65, 1,069.71 and 466.76 is: 699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.65 : 1,069.71 = 466.76 : x
  2. Step 2: Convert to fraction form
    713.65/1,069.71 = 466.76/x
  3. Step 3: Cross multiply
    713.65x = 1,069.71 × 466.76
  4. Step 4: Simplify right side
    713.65x = 499,294.17
  5. Step 5: Solve for x
    x = 499,294.17/713.65
  6. Step 6: Final answer
    x = 699.64

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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.