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Finding the Fourth Proportional to 1,128.10, 1,557.24 and 825.74

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Solution

The fourth proportional to 1,128.10, 1,557.24 and 825.74 is: 1,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.10 : 1,557.24 = 825.74 : x
  2. Step 2: Convert to fraction form
    1,128.10/1,557.24 = 825.74/x
  3. Step 3: Cross multiply
    1,128.10x = 1,557.24 × 825.74
  4. Step 4: Simplify right side
    1,128.10x = 1,285,875.36
  5. Step 5: Solve for x
    x = 1,285,875.36/1,128.10
  6. Step 6: Final answer
    x = 1,139.86

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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.