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Finding the Fourth Proportional to 885.65, 1,221.84 and 512.55

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Solution

The fourth proportional to 885.65, 1,221.84 and 512.55 is: 707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.65 : 1,221.84 = 512.55 : x
  2. Step 2: Convert to fraction form
    885.65/1,221.84 = 512.55/x
  3. Step 3: Cross multiply
    885.65x = 1,221.84 × 512.55
  4. Step 4: Simplify right side
    885.65x = 626,254.09
  5. Step 5: Solve for x
    x = 626,254.09/885.65
  6. Step 6: Final answer
    x = 707.12

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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.