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Finding the Fourth Proportional to 1,042.74, 1,564.12 and 609.58

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Solution

The fourth proportional to 1,042.74, 1,564.12 and 609.58 is: 914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.74 : 1,564.12 = 609.58 : x
  2. Step 2: Convert to fraction form
    1,042.74/1,564.12 = 609.58/x
  3. Step 3: Cross multiply
    1,042.74x = 1,564.12 × 609.58
  4. Step 4: Simplify right side
    1,042.74x = 953,456.27
  5. Step 5: Solve for x
    x = 953,456.27/1,042.74
  6. Step 6: Final answer
    x = 914.38

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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.