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Finding the Fourth Proportional to 735.25, 1,014.66 and 424.93

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Solution

The fourth proportional to 735.25, 1,014.66 and 424.93 is: 586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.25 : 1,014.66 = 424.93 : x
  2. Step 2: Convert to fraction form
    735.25/1,014.66 = 424.93/x
  3. Step 3: Cross multiply
    735.25x = 1,014.66 × 424.93
  4. Step 4: Simplify right side
    735.25x = 431,159.47
  5. Step 5: Solve for x
    x = 431,159.47/735.25
  6. Step 6: Final answer
    x = 586.41

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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.