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Finding the Fourth Proportional to 1,015.68, 1,402.29 and 829.61

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Solution

The fourth proportional to 1,015.68, 1,402.29 and 829.61 is: 1,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.68 : 1,402.29 = 829.61 : x
  2. Step 2: Convert to fraction form
    1,015.68/1,402.29 = 829.61/x
  3. Step 3: Cross multiply
    1,015.68x = 1,402.29 × 829.61
  4. Step 4: Simplify right side
    1,015.68x = 1,163,357.61
  5. Step 5: Solve for x
    x = 1,163,357.61/1,015.68
  6. Step 6: Final answer
    x = 1,145.40

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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.