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Finding the Fourth Proportional to 1,461.75, 2,017.28 and 840.75

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Solution

The fourth proportional to 1,461.75, 2,017.28 and 840.75 is: 1,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.75 : 2,017.28 = 840.75 : x
  2. Step 2: Convert to fraction form
    1,461.75/2,017.28 = 840.75/x
  3. Step 3: Cross multiply
    1,461.75x = 2,017.28 × 840.75
  4. Step 4: Simplify right side
    1,461.75x = 1,696,023.96
  5. Step 5: Solve for x
    x = 1,696,023.96/1,461.75
  6. Step 6: Final answer
    x = 1,160.27

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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.