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Finding the Fourth Proportional to 841.38, 1,161.16 and 546.90

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Solution

The fourth proportional to 841.38, 1,161.16 and 546.90 is: 754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.38 : 1,161.16 = 546.90 : x
  2. Step 2: Convert to fraction form
    841.38/1,161.16 = 546.90/x
  3. Step 3: Cross multiply
    841.38x = 1,161.16 × 546.90
  4. Step 4: Simplify right side
    841.38x = 635,038.40
  5. Step 5: Solve for x
    x = 635,038.40/841.38
  6. Step 6: Final answer
    x = 754.76

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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.