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Finding the Fourth Proportional to 865.84, 1,297.80 and 288.28

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Solution

The fourth proportional to 865.84, 1,297.80 and 288.28 is: 432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.84 : 1,297.80 = 288.28 : x
  2. Step 2: Convert to fraction form
    865.84/1,297.80 = 288.28/x
  3. Step 3: Cross multiply
    865.84x = 1,297.80 × 288.28
  4. Step 4: Simplify right side
    865.84x = 374,129.78
  5. Step 5: Solve for x
    x = 374,129.78/865.84
  6. Step 6: Final answer
    x = 432.10

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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.