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Finding the Fourth Proportional to 1,582.64, 2,373.63 and 486.71

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Solution

The fourth proportional to 1,582.64, 2,373.63 and 486.71 is: 729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.64 : 2,373.63 = 486.71 : x
  2. Step 2: Convert to fraction form
    1,582.64/2,373.63 = 486.71/x
  3. Step 3: Cross multiply
    1,582.64x = 2,373.63 × 486.71
  4. Step 4: Simplify right side
    1,582.64x = 1,155,257.59
  5. Step 5: Solve for x
    x = 1,155,257.59/1,582.64
  6. Step 6: Final answer
    x = 729.96

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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.