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Finding the Fourth Proportional to 725.84, 1,088.88 and 286.96

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Solution

The fourth proportional to 725.84, 1,088.88 and 286.96 is: 430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.84 : 1,088.88 = 286.96 : x
  2. Step 2: Convert to fraction form
    725.84/1,088.88 = 286.96/x
  3. Step 3: Cross multiply
    725.84x = 1,088.88 × 286.96
  4. Step 4: Simplify right side
    725.84x = 312,465.00
  5. Step 5: Solve for x
    x = 312,465.00/725.84
  6. Step 6: Final answer
    x = 430.49

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Double scale
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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.