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Finding the Fourth Proportional to 1,066, 1,599 and 458

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Solution

The fourth proportional to 1,066, 1,599 and 458 is: 687

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066 : 1,599 = 458 : x
  2. Step 2: Convert to fraction form
    1,066/1,599 = 458/x
  3. Step 3: Cross multiply
    1,066x = 1,599 × 458
  4. Step 4: Simplify right side
    1,066x = 732,342
  5. Step 5: Solve for x
    x = 732,342/1,066
  6. Step 6: Final answer
    x = 687

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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.