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Finding the Fourth Proportional to 1,461.96, 2,017.54 and 798.87

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Solution

The fourth proportional to 1,461.96, 2,017.54 and 798.87 is: 1,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.96 : 2,017.54 = 798.87 : x
  2. Step 2: Convert to fraction form
    1,461.96/2,017.54 = 798.87/x
  3. Step 3: Cross multiply
    1,461.96x = 2,017.54 × 798.87
  4. Step 4: Simplify right side
    1,461.96x = 1,611,752.18
  5. Step 5: Solve for x
    x = 1,611,752.18/1,461.96
  6. Step 6: Final answer
    x = 1,102.46

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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.