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Finding the Fourth Proportional to 1,009.17, 1,513.77 and 871.81

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Solution

The fourth proportional to 1,009.17, 1,513.77 and 871.81 is: 1,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.17 : 1,513.77 = 871.81 : x
  2. Step 2: Convert to fraction form
    1,009.17/1,513.77 = 871.81/x
  3. Step 3: Cross multiply
    1,009.17x = 1,513.77 × 871.81
  4. Step 4: Simplify right side
    1,009.17x = 1,319,707.90
  5. Step 5: Solve for x
    x = 1,319,707.90/1,009.17
  6. Step 6: Final answer
    x = 1,307.72

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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.