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Finding the Fourth Proportional to 1,210.46, 1,815.89 and 561.17

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Solution

The fourth proportional to 1,210.46, 1,815.89 and 561.17 is: 841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.46 : 1,815.89 = 561.17 : x
  2. Step 2: Convert to fraction form
    1,210.46/1,815.89 = 561.17/x
  3. Step 3: Cross multiply
    1,210.46x = 1,815.89 × 561.17
  4. Step 4: Simplify right side
    1,210.46x = 1,019,024.73
  5. Step 5: Solve for x
    x = 1,019,024.73/1,210.46
  6. Step 6: Final answer
    x = 841.85

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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.