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Finding the Fourth Proportional to 918.61, 1,377.67 and 341.89

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Solution

The fourth proportional to 918.61, 1,377.67 and 341.89 is: 512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.61 : 1,377.67 = 341.89 : x
  2. Step 2: Convert to fraction form
    918.61/1,377.67 = 341.89/x
  3. Step 3: Cross multiply
    918.61x = 1,377.67 × 341.89
  4. Step 4: Simplify right side
    918.61x = 471,011.60
  5. Step 5: Solve for x
    x = 471,011.60/918.61
  6. Step 6: Final answer
    x = 512.74

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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.