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Finding the Fourth Proportional to 882.32, 1,316.00 and 765.84

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Solution

The fourth proportional to 882.32, 1,316.00 and 765.84 is: 1,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.32 : 1,316.00 = 765.84 : x
  2. Step 2: Convert to fraction form
    882.32/1,316.00 = 765.84/x
  3. Step 3: Cross multiply
    882.32x = 1,316.00 × 765.84
  4. Step 4: Simplify right side
    882.32x = 1,007,841.61
  5. Step 5: Solve for x
    x = 1,007,841.61/882.32
  6. Step 6: Final answer
    x = 1,142.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.