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Finding the Fourth Proportional to 727.45, 1,002.95 and 594.53

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Solution

The fourth proportional to 727.45, 1,002.95 and 594.53 is: 819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.45 : 1,002.95 = 594.53 : x
  2. Step 2: Convert to fraction form
    727.45/1,002.95 = 594.53/x
  3. Step 3: Cross multiply
    727.45x = 1,002.95 × 594.53
  4. Step 4: Simplify right side
    727.45x = 596,287.51
  5. Step 5: Solve for x
    x = 596,287.51/727.45
  6. Step 6: Final answer
    x = 819.69

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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.