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Finding the Fourth Proportional to 1,042.89, 1,564.77 and 457.59

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Solution

The fourth proportional to 1,042.89, 1,564.77 and 457.59 is: 686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.89 : 1,564.77 = 457.59 : x
  2. Step 2: Convert to fraction form
    1,042.89/1,564.77 = 457.59/x
  3. Step 3: Cross multiply
    1,042.89x = 1,564.77 × 457.59
  4. Step 4: Simplify right side
    1,042.89x = 716,023.96
  5. Step 5: Solve for x
    x = 716,023.96/1,042.89
  6. Step 6: Final answer
    x = 686.58

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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.