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Finding the Fourth Proportional to 920.74, 1,378.86 and 595.12

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Solution

The fourth proportional to 920.74, 1,378.86 and 595.12 is: 891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.74 : 1,378.86 = 595.12 : x
  2. Step 2: Convert to fraction form
    920.74/1,378.86 = 595.12/x
  3. Step 3: Cross multiply
    920.74x = 1,378.86 × 595.12
  4. Step 4: Simplify right side
    920.74x = 820,587.16
  5. Step 5: Solve for x
    x = 820,587.16/920.74
  6. Step 6: Final answer
    x = 891.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.