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Finding the Fourth Proportional to 1,019.02, 1,528.54 and 288.61

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Solution

The fourth proportional to 1,019.02, 1,528.54 and 288.61 is: 432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.02 : 1,528.54 = 288.61 : x
  2. Step 2: Convert to fraction form
    1,019.02/1,528.54 = 288.61/x
  3. Step 3: Cross multiply
    1,019.02x = 1,528.54 × 288.61
  4. Step 4: Simplify right side
    1,019.02x = 441,151.93
  5. Step 5: Solve for x
    x = 441,151.93/1,019.02
  6. Step 6: Final answer
    x = 432.92

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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.