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Finding the Fourth Proportional to 1,042.56, 1,560.60 and 554.40

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Solution

The fourth proportional to 1,042.56, 1,560.60 and 554.40 is: 829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.56 : 1,560.60 = 554.40 : x
  2. Step 2: Convert to fraction form
    1,042.56/1,560.60 = 554.40/x
  3. Step 3: Cross multiply
    1,042.56x = 1,560.60 × 554.40
  4. Step 4: Simplify right side
    1,042.56x = 865,196.64
  5. Step 5: Solve for x
    x = 865,196.64/1,042.56
  6. Step 6: Final answer
    x = 829.88

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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.