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Finding the Fourth Proportional to 1,085.80, 1,499.14 and 713.42

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Solution

The fourth proportional to 1,085.80, 1,499.14 and 713.42 is: 985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.80 : 1,499.14 = 713.42 : x
  2. Step 2: Convert to fraction form
    1,085.80/1,499.14 = 713.42/x
  3. Step 3: Cross multiply
    1,085.80x = 1,499.14 × 713.42
  4. Step 4: Simplify right side
    1,085.80x = 1,069,516.46
  5. Step 5: Solve for x
    x = 1,069,516.46/1,085.80
  6. Step 6: Final answer
    x = 985.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.