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Finding the Fourth Proportional to 918.64, 1,267.78 and 525.70

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Solution

The fourth proportional to 918.64, 1,267.78 and 525.70 is: 725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.64 : 1,267.78 = 525.70 : x
  2. Step 2: Convert to fraction form
    918.64/1,267.78 = 525.70/x
  3. Step 3: Cross multiply
    918.64x = 1,267.78 × 525.70
  4. Step 4: Simplify right side
    918.64x = 666,471.95
  5. Step 5: Solve for x
    x = 666,471.95/918.64
  6. Step 6: Final answer
    x = 725.50

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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.