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Finding the Fourth Proportional to 885.65, 1,327.57 and 578.12

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Solution

The fourth proportional to 885.65, 1,327.57 and 578.12 is: 866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.65 : 1,327.57 = 578.12 : x
  2. Step 2: Convert to fraction form
    885.65/1,327.57 = 578.12/x
  3. Step 3: Cross multiply
    885.65x = 1,327.57 × 578.12
  4. Step 4: Simplify right side
    885.65x = 767,486.69
  5. Step 5: Solve for x
    x = 767,486.69/885.65
  6. Step 6: Final answer
    x = 866.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.