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Finding the Fourth Proportional to 1,070.26, 1,604.66 and 549.61

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Solution

The fourth proportional to 1,070.26, 1,604.66 and 549.61 is: 824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.26 : 1,604.66 = 549.61 : x
  2. Step 2: Convert to fraction form
    1,070.26/1,604.66 = 549.61/x
  3. Step 3: Cross multiply
    1,070.26x = 1,604.66 × 549.61
  4. Step 4: Simplify right side
    1,070.26x = 881,929.16
  5. Step 5: Solve for x
    x = 881,929.16/1,070.26
  6. Step 6: Final answer
    x = 824.04

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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.