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Finding the Fourth Proportional to 735.47, 1,014.03 and 538.64

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Solution

The fourth proportional to 735.47, 1,014.03 and 538.64 is: 742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.47 : 1,014.03 = 538.64 : x
  2. Step 2: Convert to fraction form
    735.47/1,014.03 = 538.64/x
  3. Step 3: Cross multiply
    735.47x = 1,014.03 × 538.64
  4. Step 4: Simplify right side
    735.47x = 546,199.65
  5. Step 5: Solve for x
    x = 546,199.65/735.47
  6. Step 6: Final answer
    x = 742.65

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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.