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Finding the Fourth Proportional to 883.12, 1,313.93 and 880.24

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Solution

The fourth proportional to 883.12, 1,313.93 and 880.24 is: 1,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.12 : 1,313.93 = 880.24 : x
  2. Step 2: Convert to fraction form
    883.12/1,313.93 = 880.24/x
  3. Step 3: Cross multiply
    883.12x = 1,313.93 × 880.24
  4. Step 4: Simplify right side
    883.12x = 1,156,573.74
  5. Step 5: Solve for x
    x = 1,156,573.74/883.12
  6. Step 6: Final answer
    x = 1,309.65

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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.