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Finding the Fourth Proportional to 1,141.52, 1,710.92 and 483.26

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Solution

The fourth proportional to 1,141.52, 1,710.92 and 483.26 is: 724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.52 : 1,710.92 = 483.26 : x
  2. Step 2: Convert to fraction form
    1,141.52/1,710.92 = 483.26/x
  3. Step 3: Cross multiply
    1,141.52x = 1,710.92 × 483.26
  4. Step 4: Simplify right side
    1,141.52x = 826,808.23
  5. Step 5: Solve for x
    x = 826,808.23/1,141.52
  6. Step 6: Final answer
    x = 724.31

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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.