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Finding the Fourth Proportional to 1,582.12, 2,373.37 and 658.30

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Solution

The fourth proportional to 1,582.12, 2,373.37 and 658.30 is: 987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.12 : 2,373.37 = 658.30 : x
  2. Step 2: Convert to fraction form
    1,582.12/2,373.37 = 658.30/x
  3. Step 3: Cross multiply
    1,582.12x = 2,373.37 × 658.30
  4. Step 4: Simplify right side
    1,582.12x = 1,562,385.11
  5. Step 5: Solve for x
    x = 1,562,385.11/1,582.12
  6. Step 6: Final answer
    x = 987.53

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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.