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Finding the Fourth Proportional to 1,177.03, 1,624.76 and 785.19

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Solution

The fourth proportional to 1,177.03, 1,624.76 and 785.19 is: 1,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.03 : 1,624.76 = 785.19 : x
  2. Step 2: Convert to fraction form
    1,177.03/1,624.76 = 785.19/x
  3. Step 3: Cross multiply
    1,177.03x = 1,624.76 × 785.19
  4. Step 4: Simplify right side
    1,177.03x = 1,275,750.42
  5. Step 5: Solve for x
    x = 1,275,750.42/1,177.03
  6. Step 6: Final answer
    x = 1,083.87

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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.