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Finding the Fourth Proportional to 875.52, 1,206.90 and 735.12

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Solution

The fourth proportional to 875.52, 1,206.90 and 735.12 is: 1,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.52 : 1,206.90 = 735.12 : x
  2. Step 2: Convert to fraction form
    875.52/1,206.90 = 735.12/x
  3. Step 3: Cross multiply
    875.52x = 1,206.90 × 735.12
  4. Step 4: Simplify right side
    875.52x = 887,216.33
  5. Step 5: Solve for x
    x = 887,216.33/875.52
  6. Step 6: Final answer
    x = 1,013.36

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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.