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Finding the Fourth Proportional to 1,147.61, 1,719.75 and 529.85

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Solution

The fourth proportional to 1,147.61, 1,719.75 and 529.85 is: 794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.61 : 1,719.75 = 529.85 : x
  2. Step 2: Convert to fraction form
    1,147.61/1,719.75 = 529.85/x
  3. Step 3: Cross multiply
    1,147.61x = 1,719.75 × 529.85
  4. Step 4: Simplify right side
    1,147.61x = 911,209.54
  5. Step 5: Solve for x
    x = 911,209.54/1,147.61
  6. Step 6: Final answer
    x = 794.01

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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.