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Finding the Fourth Proportional to 1,034.40, 1,427.42 and 568.64

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Solution

The fourth proportional to 1,034.40, 1,427.42 and 568.64 is: 784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.40 : 1,427.42 = 568.64 : x
  2. Step 2: Convert to fraction form
    1,034.40/1,427.42 = 568.64/x
  3. Step 3: Cross multiply
    1,034.40x = 1,427.42 × 568.64
  4. Step 4: Simplify right side
    1,034.40x = 811,688.11
  5. Step 5: Solve for x
    x = 811,688.11/1,034.40
  6. Step 6: Final answer
    x = 784.69

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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.