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Finding the Fourth Proportional to 790.84, 1,186.25 and 243.01

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Solution

The fourth proportional to 790.84, 1,186.25 and 243.01 is: 364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.84 : 1,186.25 = 243.01 : x
  2. Step 2: Convert to fraction form
    790.84/1,186.25 = 243.01/x
  3. Step 3: Cross multiply
    790.84x = 1,186.25 × 243.01
  4. Step 4: Simplify right side
    790.84x = 288,265.29
  5. Step 5: Solve for x
    x = 288,265.29/790.84
  6. Step 6: Final answer
    x = 364.51

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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.