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Finding the Fourth Proportional to 1,042.60, 1,438.78 and 570.48

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Solution

The fourth proportional to 1,042.60, 1,438.78 and 570.48 is: 787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.60 : 1,438.78 = 570.48 : x
  2. Step 2: Convert to fraction form
    1,042.60/1,438.78 = 570.48/x
  3. Step 3: Cross multiply
    1,042.60x = 1,438.78 × 570.48
  4. Step 4: Simplify right side
    1,042.60x = 820,795.21
  5. Step 5: Solve for x
    x = 820,795.21/1,042.60
  6. Step 6: Final answer
    x = 787.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.