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Finding the Fourth Proportional to 681.95, 940.09 and 542.12

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Solution

The fourth proportional to 681.95, 940.09 and 542.12 is: 747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.95 : 940.09 = 542.12 : x
  2. Step 2: Convert to fraction form
    681.95/940.09 = 542.12/x
  3. Step 3: Cross multiply
    681.95x = 940.09 × 542.12
  4. Step 4: Simplify right side
    681.95x = 509,643.47
  5. Step 5: Solve for x
    x = 509,643.47/681.95
  6. Step 6: Final answer
    x = 747.34

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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.