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Finding the Fourth Proportional to 1,034.14, 1,427.07 and 562.02

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Solution

The fourth proportional to 1,034.14, 1,427.07 and 562.02 is: 775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.14 : 1,427.07 = 562.02 : x
  2. Step 2: Convert to fraction form
    1,034.14/1,427.07 = 562.02/x
  3. Step 3: Cross multiply
    1,034.14x = 1,427.07 × 562.02
  4. Step 4: Simplify right side
    1,034.14x = 802,041.88
  5. Step 5: Solve for x
    x = 802,041.88/1,034.14
  6. Step 6: Final answer
    x = 775.56

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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.