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Finding the Fourth Proportional to 1,334.61, 2,002.70 and 750.93

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Solution

The fourth proportional to 1,334.61, 2,002.70 and 750.93 is: 1,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.61 : 2,002.70 = 750.93 : x
  2. Step 2: Convert to fraction form
    1,334.61/2,002.70 = 750.93/x
  3. Step 3: Cross multiply
    1,334.61x = 2,002.70 × 750.93
  4. Step 4: Simplify right side
    1,334.61x = 1,503,883.76
  5. Step 5: Solve for x
    x = 1,503,883.76/1,334.61
  6. Step 6: Final answer
    x = 1,126.83

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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.