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Finding the Fourth Proportional to 882.70, 1,320.09 and 785.78

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Solution

The fourth proportional to 882.70, 1,320.09 and 785.78 is: 1,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.70 : 1,320.09 = 785.78 : x
  2. Step 2: Convert to fraction form
    882.70/1,320.09 = 785.78/x
  3. Step 3: Cross multiply
    882.70x = 1,320.09 × 785.78
  4. Step 4: Simplify right side
    882.70x = 1,037,300.32
  5. Step 5: Solve for x
    x = 1,037,300.32/882.70
  6. Step 6: Final answer
    x = 1,175.14

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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.