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Finding the Fourth Proportional to 1,139.32, 1,705.02 and 700.38

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Solution

The fourth proportional to 1,139.32, 1,705.02 and 700.38 is: 1,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.32 : 1,705.02 = 700.38 : x
  2. Step 2: Convert to fraction form
    1,139.32/1,705.02 = 700.38/x
  3. Step 3: Cross multiply
    1,139.32x = 1,705.02 × 700.38
  4. Step 4: Simplify right side
    1,139.32x = 1,194,161.91
  5. Step 5: Solve for x
    x = 1,194,161.91/1,139.32
  6. Step 6: Final answer
    x = 1,048.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.