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Finding the Fourth Proportional to 882.86, 1,219.04 and 603.11

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Solution

The fourth proportional to 882.86, 1,219.04 and 603.11 is: 832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.86 : 1,219.04 = 603.11 : x
  2. Step 2: Convert to fraction form
    882.86/1,219.04 = 603.11/x
  3. Step 3: Cross multiply
    882.86x = 1,219.04 × 603.11
  4. Step 4: Simplify right side
    882.86x = 735,212.17
  5. Step 5: Solve for x
    x = 735,212.17/882.86
  6. Step 6: Final answer
    x = 832.76

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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.