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Finding the Fourth Proportional to 1,337.76, 2,005.92 and 567.84

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Solution

The fourth proportional to 1,337.76, 2,005.92 and 567.84 is: 851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.76 : 2,005.92 = 567.84 : x
  2. Step 2: Convert to fraction form
    1,337.76/2,005.92 = 567.84/x
  3. Step 3: Cross multiply
    1,337.76x = 2,005.92 × 567.84
  4. Step 4: Simplify right side
    1,337.76x = 1,139,041.61
  5. Step 5: Solve for x
    x = 1,139,041.61/1,337.76
  6. Step 6: Final answer
    x = 851.45

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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.