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Finding the Fourth Proportional to 918.32, 1,266.98 and 564.05

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Solution

The fourth proportional to 918.32, 1,266.98 and 564.05 is: 778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.32 : 1,266.98 = 564.05 : x
  2. Step 2: Convert to fraction form
    918.32/1,266.98 = 564.05/x
  3. Step 3: Cross multiply
    918.32x = 1,266.98 × 564.05
  4. Step 4: Simplify right side
    918.32x = 714,630.91
  5. Step 5: Solve for x
    x = 714,630.91/918.32
  6. Step 6: Final answer
    x = 778.20

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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.