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Finding the Fourth Proportional to 1,147.67, 1,719.23 and 530.53

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Solution

The fourth proportional to 1,147.67, 1,719.23 and 530.53 is: 794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.67 : 1,719.23 = 530.53 : x
  2. Step 2: Convert to fraction form
    1,147.67/1,719.23 = 530.53/x
  3. Step 3: Cross multiply
    1,147.67x = 1,719.23 × 530.53
  4. Step 4: Simplify right side
    1,147.67x = 912,103.09
  5. Step 5: Solve for x
    x = 912,103.09/1,147.67
  6. Step 6: Final answer
    x = 794.74

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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.