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Finding the Fourth Proportional to 918.63, 1,377.14 and 370.71

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Solution

The fourth proportional to 918.63, 1,377.14 and 370.71 is: 555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.63 : 1,377.14 = 370.71 : x
  2. Step 2: Convert to fraction form
    918.63/1,377.14 = 370.71/x
  3. Step 3: Cross multiply
    918.63x = 1,377.14 × 370.71
  4. Step 4: Simplify right side
    918.63x = 510,517.72
  5. Step 5: Solve for x
    x = 510,517.72/918.63
  6. Step 6: Final answer
    x = 555.74

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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.