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Finding the Fourth Proportional to 746.36, 1,117.88 and 421.52

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Solution

The fourth proportional to 746.36, 1,117.88 and 421.52 is: 631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.36 : 1,117.88 = 421.52 : x
  2. Step 2: Convert to fraction form
    746.36/1,117.88 = 421.52/x
  3. Step 3: Cross multiply
    746.36x = 1,117.88 × 421.52
  4. Step 4: Simplify right side
    746.36x = 471,208.78
  5. Step 5: Solve for x
    x = 471,208.78/746.36
  6. Step 6: Final answer
    x = 631.34

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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.