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Finding the Fourth Proportional to 1,044.92, 1,567.24 and 497.45

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Solution

The fourth proportional to 1,044.92, 1,567.24 and 497.45 is: 746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.92 : 1,567.24 = 497.45 : x
  2. Step 2: Convert to fraction form
    1,044.92/1,567.24 = 497.45/x
  3. Step 3: Cross multiply
    1,044.92x = 1,567.24 × 497.45
  4. Step 4: Simplify right side
    1,044.92x = 779,623.54
  5. Step 5: Solve for x
    x = 779,623.54/1,044.92
  6. Step 6: Final answer
    x = 746.11

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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.