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Finding the Fourth Proportional to 1,152.32, 1,728.46 and 286.63

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Solution

The fourth proportional to 1,152.32, 1,728.46 and 286.63 is: 429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.32 : 1,728.46 = 286.63 : x
  2. Step 2: Convert to fraction form
    1,152.32/1,728.46 = 286.63/x
  3. Step 3: Cross multiply
    1,152.32x = 1,728.46 × 286.63
  4. Step 4: Simplify right side
    1,152.32x = 495,428.49
  5. Step 5: Solve for x
    x = 495,428.49/1,152.32
  6. Step 6: Final answer
    x = 429.94

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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.