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Finding the Fourth Proportional to 967.24, 1,333.55 and 790.02

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Solution

The fourth proportional to 967.24, 1,333.55 and 790.02 is: 1,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.24 : 1,333.55 = 790.02 : x
  2. Step 2: Convert to fraction form
    967.24/1,333.55 = 790.02/x
  3. Step 3: Cross multiply
    967.24x = 1,333.55 × 790.02
  4. Step 4: Simplify right side
    967.24x = 1,053,531.17
  5. Step 5: Solve for x
    x = 1,053,531.17/967.24
  6. Step 6: Final answer
    x = 1,089.21

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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.