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Finding the Fourth Proportional to 1,583.76, 2,373.62 and 658.74

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Solution

The fourth proportional to 1,583.76, 2,373.62 and 658.74 is: 987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.76 : 2,373.62 = 658.74 : x
  2. Step 2: Convert to fraction form
    1,583.76/2,373.62 = 658.74/x
  3. Step 3: Cross multiply
    1,583.76x = 2,373.62 × 658.74
  4. Step 4: Simplify right side
    1,583.76x = 1,563,595.15
  5. Step 5: Solve for x
    x = 1,563,595.15/1,583.76
  6. Step 6: Final answer
    x = 987.27

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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.