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Finding the Fourth Proportional to 1,139.03, 1,708.47 and 670.76

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Solution

The fourth proportional to 1,139.03, 1,708.47 and 670.76 is: 1,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.03 : 1,708.47 = 670.76 : x
  2. Step 2: Convert to fraction form
    1,139.03/1,708.47 = 670.76/x
  3. Step 3: Cross multiply
    1,139.03x = 1,708.47 × 670.76
  4. Step 4: Simplify right side
    1,139.03x = 1,145,977.61
  5. Step 5: Solve for x
    x = 1,145,977.61/1,139.03
  6. Step 6: Final answer
    x = 1,006.10

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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.