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Finding the Fourth Proportional to 1,178.20, 1,625.74 and 654.16

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Solution

The fourth proportional to 1,178.20, 1,625.74 and 654.16 is: 902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.20 : 1,625.74 = 654.16 : x
  2. Step 2: Convert to fraction form
    1,178.20/1,625.74 = 654.16/x
  3. Step 3: Cross multiply
    1,178.20x = 1,625.74 × 654.16
  4. Step 4: Simplify right side
    1,178.20x = 1,063,494.08
  5. Step 5: Solve for x
    x = 1,063,494.08/1,178.20
  6. Step 6: Final answer
    x = 902.64

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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.