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Finding the Fourth Proportional to 972.60, 1,455.30 and 886.20

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Solution

The fourth proportional to 972.60, 1,455.30 and 886.20 is: 1,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.60 : 1,455.30 = 886.20 : x
  2. Step 2: Convert to fraction form
    972.60/1,455.30 = 886.20/x
  3. Step 3: Cross multiply
    972.60x = 1,455.30 × 886.20
  4. Step 4: Simplify right side
    972.60x = 1,289,686.86
  5. Step 5: Solve for x
    x = 1,289,686.86/972.60
  6. Step 6: Final answer
    x = 1,326.02

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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.