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Finding the Fourth Proportional to 830.74, 1,240.94 and 614.74

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Solution

The fourth proportional to 830.74, 1,240.94 and 614.74 is: 918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.74 : 1,240.94 = 614.74 : x
  2. Step 2: Convert to fraction form
    830.74/1,240.94 = 614.74/x
  3. Step 3: Cross multiply
    830.74x = 1,240.94 × 614.74
  4. Step 4: Simplify right side
    830.74x = 762,855.46
  5. Step 5: Solve for x
    x = 762,855.46/830.74
  6. Step 6: Final answer
    x = 918.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.