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Finding the Fourth Proportional to 974.15, 1,459.48 and 534.93

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Solution

The fourth proportional to 974.15, 1,459.48 and 534.93 is: 801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.15 : 1,459.48 = 534.93 : x
  2. Step 2: Convert to fraction form
    974.15/1,459.48 = 534.93/x
  3. Step 3: Cross multiply
    974.15x = 1,459.48 × 534.93
  4. Step 4: Simplify right side
    974.15x = 780,719.64
  5. Step 5: Solve for x
    x = 780,719.64/974.15
  6. Step 6: Final answer
    x = 801.44

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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.