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Finding the Fourth Proportional to 1,411.75, 2,117.63 and 546.40

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Solution

The fourth proportional to 1,411.75, 2,117.63 and 546.40 is: 819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.75 : 2,117.63 = 546.40 : x
  2. Step 2: Convert to fraction form
    1,411.75/2,117.63 = 546.40/x
  3. Step 3: Cross multiply
    1,411.75x = 2,117.63 × 546.40
  4. Step 4: Simplify right side
    1,411.75x = 1,157,073.03
  5. Step 5: Solve for x
    x = 1,157,073.03/1,411.75
  6. Step 6: Final answer
    x = 819.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.