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Finding the Fourth Proportional to 1,484.63, 2,225.78 and 560.15

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Solution

The fourth proportional to 1,484.63, 2,225.78 and 560.15 is: 839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.63 : 2,225.78 = 560.15 : x
  2. Step 2: Convert to fraction form
    1,484.63/2,225.78 = 560.15/x
  3. Step 3: Cross multiply
    1,484.63x = 2,225.78 × 560.15
  4. Step 4: Simplify right side
    1,484.63x = 1,246,767.18
  5. Step 5: Solve for x
    x = 1,246,767.18/1,484.63
  6. Step 6: Final answer
    x = 839.78

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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.