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Finding the Fourth Proportional to 1,014.34, 1,399.70 and 594.71

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Solution

The fourth proportional to 1,014.34, 1,399.70 and 594.71 is: 820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.34 : 1,399.70 = 594.71 : x
  2. Step 2: Convert to fraction form
    1,014.34/1,399.70 = 594.71/x
  3. Step 3: Cross multiply
    1,014.34x = 1,399.70 × 594.71
  4. Step 4: Simplify right side
    1,014.34x = 832,405.61
  5. Step 5: Solve for x
    x = 832,405.61/1,014.34
  6. Step 6: Final answer
    x = 820.64

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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.