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Finding the Fourth Proportional to 954.25, 1,316.87 and 540.25

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Solution

The fourth proportional to 954.25, 1,316.87 and 540.25 is: 745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.25 : 1,316.87 = 540.25 : x
  2. Step 2: Convert to fraction form
    954.25/1,316.87 = 540.25/x
  3. Step 3: Cross multiply
    954.25x = 1,316.87 × 540.25
  4. Step 4: Simplify right side
    954.25x = 711,439.02
  5. Step 5: Solve for x
    x = 711,439.02/954.25
  6. Step 6: Final answer
    x = 745.55

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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.