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Finding the Fourth Proportional to 865.23, 1,297.89 and 288.06

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Solution

The fourth proportional to 865.23, 1,297.89 and 288.06 is: 432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.23 : 1,297.89 = 288.06 : x
  2. Step 2: Convert to fraction form
    865.23/1,297.89 = 288.06/x
  3. Step 3: Cross multiply
    865.23x = 1,297.89 × 288.06
  4. Step 4: Simplify right side
    865.23x = 373,870.19
  5. Step 5: Solve for x
    x = 373,870.19/865.23
  6. Step 6: Final answer
    x = 432.10

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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.