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Finding the Fourth Proportional to 798.04, 1,191.59 and 715.24

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Solution

The fourth proportional to 798.04, 1,191.59 and 715.24 is: 1,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.04 : 1,191.59 = 715.24 : x
  2. Step 2: Convert to fraction form
    798.04/1,191.59 = 715.24/x
  3. Step 3: Cross multiply
    798.04x = 1,191.59 × 715.24
  4. Step 4: Simplify right side
    798.04x = 852,272.83
  5. Step 5: Solve for x
    x = 852,272.83/798.04
  6. Step 6: Final answer
    x = 1,067.96

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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.