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Finding the Fourth Proportional to 1,139.72, 1,707.75 and 1,030.37

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Solution

The fourth proportional to 1,139.72, 1,707.75 and 1,030.37 is: 1,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.72 : 1,707.75 = 1,030.37 : x
  2. Step 2: Convert to fraction form
    1,139.72/1,707.75 = 1,030.37/x
  3. Step 3: Cross multiply
    1,139.72x = 1,707.75 × 1,030.37
  4. Step 4: Simplify right side
    1,139.72x = 1,759,605.83
  5. Step 5: Solve for x
    x = 1,759,605.83/1,139.72
  6. Step 6: Final answer
    x = 1,543.90

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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.