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Finding the Fourth Proportional to 1,152.34, 1,728.52 and 286.62

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Solution

The fourth proportional to 1,152.34, 1,728.52 and 286.62 is: 429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.34 : 1,728.52 = 286.62 : x
  2. Step 2: Convert to fraction form
    1,152.34/1,728.52 = 286.62/x
  3. Step 3: Cross multiply
    1,152.34x = 1,728.52 × 286.62
  4. Step 4: Simplify right side
    1,152.34x = 495,428.40
  5. Step 5: Solve for x
    x = 495,428.40/1,152.34
  6. Step 6: Final answer
    x = 429.93

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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.