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Finding the Fourth Proportional to 864.84, 1,295.54 and 590.25

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Solution

The fourth proportional to 864.84, 1,295.54 and 590.25 is: 884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.84 : 1,295.54 = 590.25 : x
  2. Step 2: Convert to fraction form
    864.84/1,295.54 = 590.25/x
  3. Step 3: Cross multiply
    864.84x = 1,295.54 × 590.25
  4. Step 4: Simplify right side
    864.84x = 764,689.53
  5. Step 5: Solve for x
    x = 764,689.53/864.84
  6. Step 6: Final answer
    x = 884.20

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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.