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Finding the Fourth Proportional to 1,018.75, 1,528.15 and 288.25

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Solution

The fourth proportional to 1,018.75, 1,528.15 and 288.25 is: 432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.75 : 1,528.15 = 288.25 : x
  2. Step 2: Convert to fraction form
    1,018.75/1,528.15 = 288.25/x
  3. Step 3: Cross multiply
    1,018.75x = 1,528.15 × 288.25
  4. Step 4: Simplify right side
    1,018.75x = 440,480.16
  5. Step 5: Solve for x
    x = 440,480.16/1,018.75
  6. Step 6: Final answer
    x = 432.38

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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.