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Finding the Fourth Proportional to 1,284.46, 1,925.19 and 591.17

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Solution

The fourth proportional to 1,284.46, 1,925.19 and 591.17 is: 886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.46 : 1,925.19 = 591.17 : x
  2. Step 2: Convert to fraction form
    1,284.46/1,925.19 = 591.17/x
  3. Step 3: Cross multiply
    1,284.46x = 1,925.19 × 591.17
  4. Step 4: Simplify right side
    1,284.46x = 1,138,119.11
  5. Step 5: Solve for x
    x = 1,138,119.11/1,284.46
  6. Step 6: Final answer
    x = 886.07

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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.