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Finding the Fourth Proportional to 865.18, 1,298.01 and 288.07

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Solution

The fourth proportional to 865.18, 1,298.01 and 288.07 is: 432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.18 : 1,298.01 = 288.07 : x
  2. Step 2: Convert to fraction form
    865.18/1,298.01 = 288.07/x
  3. Step 3: Cross multiply
    865.18x = 1,298.01 × 288.07
  4. Step 4: Simplify right side
    865.18x = 373,917.74
  5. Step 5: Solve for x
    x = 373,917.74/865.18
  6. Step 6: Final answer
    x = 432.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.