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Finding the Fourth Proportional to 916.52, 1,373.52 and 482.80

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Solution

The fourth proportional to 916.52, 1,373.52 and 482.80 is: 723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.52 : 1,373.52 = 482.80 : x
  2. Step 2: Convert to fraction form
    916.52/1,373.52 = 482.80/x
  3. Step 3: Cross multiply
    916.52x = 1,373.52 × 482.80
  4. Step 4: Simplify right side
    916.52x = 663,135.46
  5. Step 5: Solve for x
    x = 663,135.46/916.52
  6. Step 6: Final answer
    x = 723.54

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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.