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Finding the Fourth Proportional to 1,017.76, 1,518.44 and 968.80

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Solution

The fourth proportional to 1,017.76, 1,518.44 and 968.80 is: 1,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.76 : 1,518.44 = 968.80 : x
  2. Step 2: Convert to fraction form
    1,017.76/1,518.44 = 968.80/x
  3. Step 3: Cross multiply
    1,017.76x = 1,518.44 × 968.80
  4. Step 4: Simplify right side
    1,017.76x = 1,471,064.67
  5. Step 5: Solve for x
    x = 1,471,064.67/1,017.76
  6. Step 6: Final answer
    x = 1,445.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.