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Finding the Fourth Proportional to 1,141.61, 1,702.85 and 1,047.24

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Solution

The fourth proportional to 1,141.61, 1,702.85 and 1,047.24 is: 1,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.61 : 1,702.85 = 1,047.24 : x
  2. Step 2: Convert to fraction form
    1,141.61/1,702.85 = 1,047.24/x
  3. Step 3: Cross multiply
    1,141.61x = 1,702.85 × 1,047.24
  4. Step 4: Simplify right side
    1,141.61x = 1,783,287.40
  5. Step 5: Solve for x
    x = 1,783,287.40/1,141.61
  6. Step 6: Final answer
    x = 1,562.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.