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Finding the Fourth Proportional to 918, 1,266.84 and 607.50

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Solution

The fourth proportional to 918, 1,266.84 and 607.50 is: 838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    918 : 1,266.84 = 607.50 : x
  2. Step 2: Convert to fraction form
    918/1,266.84 = 607.50/x
  3. Step 3: Cross multiply
    918x = 1,266.84 × 607.50
  4. Step 4: Simplify right side
    918x = 769,605.30
  5. Step 5: Solve for x
    x = 769,605.30/918
  6. Step 6: Final answer
    x = 838.35

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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.