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Finding the Fourth Proportional to 908.80, 1,254.34 and 577.68

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Solution

The fourth proportional to 908.80, 1,254.34 and 577.68 is: 797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.80 : 1,254.34 = 577.68 : x
  2. Step 2: Convert to fraction form
    908.80/1,254.34 = 577.68/x
  3. Step 3: Cross multiply
    908.80x = 1,254.34 × 577.68
  4. Step 4: Simplify right side
    908.80x = 724,607.13
  5. Step 5: Solve for x
    x = 724,607.13/908.80
  6. Step 6: Final answer
    x = 797.32

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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.