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Finding the Fourth Proportional to 1,487.70, 2,053.17 and 824.77

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Solution

The fourth proportional to 1,487.70, 2,053.17 and 824.77 is: 1,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.70 : 2,053.17 = 824.77 : x
  2. Step 2: Convert to fraction form
    1,487.70/2,053.17 = 824.77/x
  3. Step 3: Cross multiply
    1,487.70x = 2,053.17 × 824.77
  4. Step 4: Simplify right side
    1,487.70x = 1,693,393.02
  5. Step 5: Solve for x
    x = 1,693,393.02/1,487.70
  6. Step 6: Final answer
    x = 1,138.26

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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.