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Finding the Fourth Proportional to 1,289.47, 1,931.62 and 595.20

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Solution

The fourth proportional to 1,289.47, 1,931.62 and 595.20 is: 891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.47 : 1,931.62 = 595.20 : x
  2. Step 2: Convert to fraction form
    1,289.47/1,931.62 = 595.20/x
  3. Step 3: Cross multiply
    1,289.47x = 1,931.62 × 595.20
  4. Step 4: Simplify right side
    1,289.47x = 1,149,689.08
  5. Step 5: Solve for x
    x = 1,149,689.08/1,289.47
  6. Step 6: Final answer
    x = 891.60

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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.