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Finding the Fourth Proportional to 843.30, 1,263.42 and 707.22

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Solution

The fourth proportional to 843.30, 1,263.42 and 707.22 is: 1,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.30 : 1,263.42 = 707.22 : x
  2. Step 2: Convert to fraction form
    843.30/1,263.42 = 707.22/x
  3. Step 3: Cross multiply
    843.30x = 1,263.42 × 707.22
  4. Step 4: Simplify right side
    843.30x = 893,515.89
  5. Step 5: Solve for x
    x = 893,515.89/843.30
  6. Step 6: Final answer
    x = 1,059.55

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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.