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Finding the Fourth Proportional to 1,014, 1,399.53 and 594.59

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Solution

The fourth proportional to 1,014, 1,399.53 and 594.59 is: 820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014 : 1,399.53 = 594.59 : x
  2. Step 2: Convert to fraction form
    1,014/1,399.53 = 594.59/x
  3. Step 3: Cross multiply
    1,014x = 1,399.53 × 594.59
  4. Step 4: Simplify right side
    1,014x = 832,139.55
  5. Step 5: Solve for x
    x = 832,139.55/1,014
  6. Step 6: Final answer
    x = 820.65

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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.