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Finding the Fourth Proportional to 981.93, 1,472.53 and 288.42

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Solution

The fourth proportional to 981.93, 1,472.53 and 288.42 is: 432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.93 : 1,472.53 = 288.42 : x
  2. Step 2: Convert to fraction form
    981.93/1,472.53 = 288.42/x
  3. Step 3: Cross multiply
    981.93x = 1,472.53 × 288.42
  4. Step 4: Simplify right side
    981.93x = 424,707.10
  5. Step 5: Solve for x
    x = 424,707.10/981.93
  6. Step 6: Final answer
    x = 432.52

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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.