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Finding the Fourth Proportional to 723.63, 998.75 and 413.13

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Solution

The fourth proportional to 723.63, 998.75 and 413.13 is: 570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.63 : 998.75 = 413.13 : x
  2. Step 2: Convert to fraction form
    723.63/998.75 = 413.13/x
  3. Step 3: Cross multiply
    723.63x = 998.75 × 413.13
  4. Step 4: Simplify right side
    723.63x = 412,613.59
  5. Step 5: Solve for x
    x = 412,613.59/723.63
  6. Step 6: Final answer
    x = 570.20

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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.