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Finding the Fourth Proportional to 1,042.81, 1,564.21 and 418.39

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Solution

The fourth proportional to 1,042.81, 1,564.21 and 418.39 is: 627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.81 : 1,564.21 = 418.39 : x
  2. Step 2: Convert to fraction form
    1,042.81/1,564.21 = 418.39/x
  3. Step 3: Cross multiply
    1,042.81x = 1,564.21 × 418.39
  4. Step 4: Simplify right side
    1,042.81x = 654,442.00
  5. Step 5: Solve for x
    x = 654,442.00/1,042.81
  6. Step 6: Final answer
    x = 627.58

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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.