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Finding the Fourth Proportional to 930.48, 1,284.21 and 537.75

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Solution

The fourth proportional to 930.48, 1,284.21 and 537.75 is: 742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.48 : 1,284.21 = 537.75 : x
  2. Step 2: Convert to fraction form
    930.48/1,284.21 = 537.75/x
  3. Step 3: Cross multiply
    930.48x = 1,284.21 × 537.75
  4. Step 4: Simplify right side
    930.48x = 690,583.93
  5. Step 5: Solve for x
    x = 690,583.93/930.48
  6. Step 6: Final answer
    x = 742.18

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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.