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Finding the Fourth Proportional to 1,042.44, 1,564.14 and 555.38

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Solution

The fourth proportional to 1,042.44, 1,564.14 and 555.38 is: 833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.44 : 1,564.14 = 555.38 : x
  2. Step 2: Convert to fraction form
    1,042.44/1,564.14 = 555.38/x
  3. Step 3: Cross multiply
    1,042.44x = 1,564.14 × 555.38
  4. Step 4: Simplify right side
    1,042.44x = 868,684.25
  5. Step 5: Solve for x
    x = 868,684.25/1,042.44
  6. Step 6: Final answer
    x = 833.32

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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.