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Finding the Fourth Proportional to 1,582, 2,373.24 and 486.52

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Solution

The fourth proportional to 1,582, 2,373.24 and 486.52 is: 729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582 : 2,373.24 = 486.52 : x
  2. Step 2: Convert to fraction form
    1,582/2,373.24 = 486.52/x
  3. Step 3: Cross multiply
    1,582x = 2,373.24 × 486.52
  4. Step 4: Simplify right side
    1,582x = 1,154,628.72
  5. Step 5: Solve for x
    x = 1,154,628.72/1,582
  6. Step 6: Final answer
    x = 729.85

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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.