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Finding the Fourth Proportional to 1,210.83, 1,815.94 and 560.94

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Solution

The fourth proportional to 1,210.83, 1,815.94 and 560.94 is: 841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.83 : 1,815.94 = 560.94 : x
  2. Step 2: Convert to fraction form
    1,210.83/1,815.94 = 560.94/x
  3. Step 3: Cross multiply
    1,210.83x = 1,815.94 × 560.94
  4. Step 4: Simplify right side
    1,210.83x = 1,018,633.38
  5. Step 5: Solve for x
    x = 1,018,633.38/1,210.83
  6. Step 6: Final answer
    x = 841.27

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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.