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Finding the Fourth Proportional to 1,139.87, 1,707.53 and 976.15

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Solution

The fourth proportional to 1,139.87, 1,707.53 and 976.15 is: 1,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.87 : 1,707.53 = 976.15 : x
  2. Step 2: Convert to fraction form
    1,139.87/1,707.53 = 976.15/x
  3. Step 3: Cross multiply
    1,139.87x = 1,707.53 × 976.15
  4. Step 4: Simplify right side
    1,139.87x = 1,666,808.15
  5. Step 5: Solve for x
    x = 1,666,808.15/1,139.87
  6. Step 6: Final answer
    x = 1,462.28

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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.