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Finding the Fourth Proportional to 1,139.81, 1,700.76 and 1,070.15

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Solution

The fourth proportional to 1,139.81, 1,700.76 and 1,070.15 is: 1,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.81 : 1,700.76 = 1,070.15 : x
  2. Step 2: Convert to fraction form
    1,139.81/1,700.76 = 1,070.15/x
  3. Step 3: Cross multiply
    1,139.81x = 1,700.76 × 1,070.15
  4. Step 4: Simplify right side
    1,139.81x = 1,820,063.82
  5. Step 5: Solve for x
    x = 1,820,063.82/1,139.81
  6. Step 6: Final answer
    x = 1,596.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.