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Finding the Fourth Proportional to 1,141.47, 1,712.52 and 411.03

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Solution

The fourth proportional to 1,141.47, 1,712.52 and 411.03 is: 616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.47 : 1,712.52 = 411.03 : x
  2. Step 2: Convert to fraction form
    1,141.47/1,712.52 = 411.03/x
  3. Step 3: Cross multiply
    1,141.47x = 1,712.52 × 411.03
  4. Step 4: Simplify right side
    1,141.47x = 703,897.10
  5. Step 5: Solve for x
    x = 703,897.10/1,141.47
  6. Step 6: Final answer
    x = 616.66

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Double scale
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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.