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Finding the Fourth Proportional to 918.65, 1,267.76 and 525.80

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Solution

The fourth proportional to 918.65, 1,267.76 and 525.80 is: 725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.65 : 1,267.76 = 525.80 : x
  2. Step 2: Convert to fraction form
    918.65/1,267.76 = 525.80/x
  3. Step 3: Cross multiply
    918.65x = 1,267.76 × 525.80
  4. Step 4: Simplify right side
    918.65x = 666,588.21
  5. Step 5: Solve for x
    x = 666,588.21/918.65
  6. Step 6: Final answer
    x = 725.62

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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.