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Finding the Fourth Proportional to 1,034.98, 1,428.25 and 569.23

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Solution

The fourth proportional to 1,034.98, 1,428.25 and 569.23 is: 785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.98 : 1,428.25 = 569.23 : x
  2. Step 2: Convert to fraction form
    1,034.98/1,428.25 = 569.23/x
  3. Step 3: Cross multiply
    1,034.98x = 1,428.25 × 569.23
  4. Step 4: Simplify right side
    1,034.98x = 813,002.75
  5. Step 5: Solve for x
    x = 813,002.75/1,034.98
  6. Step 6: Final answer
    x = 785.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.