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Finding the Fourth Proportional to 1,582.63, 2,373.92 and 487

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Solution

The fourth proportional to 1,582.63, 2,373.92 and 487 is: 730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.63 : 2,373.92 = 487 : x
  2. Step 2: Convert to fraction form
    1,582.63/2,373.92 = 487/x
  3. Step 3: Cross multiply
    1,582.63x = 2,373.92 × 487
  4. Step 4: Simplify right side
    1,582.63x = 1,156,099.04
  5. Step 5: Solve for x
    x = 1,156,099.04/1,582.63
  6. Step 6: Final answer
    x = 730.49

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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.