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Finding the Fourth Proportional to 882.16, 1,319.36 and 785.28

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Solution

The fourth proportional to 882.16, 1,319.36 and 785.28 is: 1,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.16 : 1,319.36 = 785.28 : x
  2. Step 2: Convert to fraction form
    882.16/1,319.36 = 785.28/x
  3. Step 3: Cross multiply
    882.16x = 1,319.36 × 785.28
  4. Step 4: Simplify right side
    882.16x = 1,036,067.02
  5. Step 5: Solve for x
    x = 1,036,067.02/882.16
  6. Step 6: Final answer
    x = 1,174.47

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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.