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Finding the Fourth Proportional to 727.93, 1,002.77 and 541.10

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Solution

The fourth proportional to 727.93, 1,002.77 and 541.10 is: 745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.93 : 1,002.77 = 541.10 : x
  2. Step 2: Convert to fraction form
    727.93/1,002.77 = 541.10/x
  3. Step 3: Cross multiply
    727.93x = 1,002.77 × 541.10
  4. Step 4: Simplify right side
    727.93x = 542,598.08
  5. Step 5: Solve for x
    x = 542,598.08/727.93
  6. Step 6: Final answer
    x = 745.40

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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.