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Finding the Fourth Proportional to 1,045.04, 1,569.18 and 814.46

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Solution

The fourth proportional to 1,045.04, 1,569.18 and 814.46 is: 1,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.04 : 1,569.18 = 814.46 : x
  2. Step 2: Convert to fraction form
    1,045.04/1,569.18 = 814.46/x
  3. Step 3: Cross multiply
    1,045.04x = 1,569.18 × 814.46
  4. Step 4: Simplify right side
    1,045.04x = 1,278,034.34
  5. Step 5: Solve for x
    x = 1,278,034.34/1,045.04
  6. Step 6: Final answer
    x = 1,222.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.