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Finding the Fourth Proportional to 1,034.64, 1,427.46 and 586.47

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Solution

The fourth proportional to 1,034.64, 1,427.46 and 586.47 is: 809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.64 : 1,427.46 = 586.47 : x
  2. Step 2: Convert to fraction form
    1,034.64/1,427.46 = 586.47/x
  3. Step 3: Cross multiply
    1,034.64x = 1,427.46 × 586.47
  4. Step 4: Simplify right side
    1,034.64x = 837,155.12
  5. Step 5: Solve for x
    x = 837,155.12/1,034.64
  6. Step 6: Final answer
    x = 809.12

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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.