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Finding the Fourth Proportional to 700.71, 1,051.07 and 458.78

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Solution

The fourth proportional to 700.71, 1,051.07 and 458.78 is: 688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.71 : 1,051.07 = 458.78 : x
  2. Step 2: Convert to fraction form
    700.71/1,051.07 = 458.78/x
  3. Step 3: Cross multiply
    700.71x = 1,051.07 × 458.78
  4. Step 4: Simplify right side
    700.71x = 482,205.79
  5. Step 5: Solve for x
    x = 482,205.79/700.71
  6. Step 6: Final answer
    x = 688.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.