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Finding the Fourth Proportional to 1,078.79, 1,617.77 and 462.44

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Solution

The fourth proportional to 1,078.79, 1,617.77 and 462.44 is: 693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.79 : 1,617.77 = 462.44 : x
  2. Step 2: Convert to fraction form
    1,078.79/1,617.77 = 462.44/x
  3. Step 3: Cross multiply
    1,078.79x = 1,617.77 × 462.44
  4. Step 4: Simplify right side
    1,078.79x = 748,126.76
  5. Step 5: Solve for x
    x = 748,126.76/1,078.79
  6. Step 6: Final answer
    x = 693.49

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1.5x scale

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.