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Finding the Fourth Proportional to 735.62, 1,014.98 and 538.79

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Solution

The fourth proportional to 735.62, 1,014.98 and 538.79 is: 743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.62 : 1,014.98 = 538.79 : x
  2. Step 2: Convert to fraction form
    735.62/1,014.98 = 538.79/x
  3. Step 3: Cross multiply
    735.62x = 1,014.98 × 538.79
  4. Step 4: Simplify right side
    735.62x = 546,860.92
  5. Step 5: Solve for x
    x = 546,860.92/735.62
  6. Step 6: Final answer
    x = 743.40

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1.5x scale

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.