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Finding the Fourth Proportional to 1,152.42, 1,728.65 and 286.74

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Solution

The fourth proportional to 1,152.42, 1,728.65 and 286.74 is: 430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.42 : 1,728.65 = 286.74 : x
  2. Step 2: Convert to fraction form
    1,152.42/1,728.65 = 286.74/x
  3. Step 3: Cross multiply
    1,152.42x = 1,728.65 × 286.74
  4. Step 4: Simplify right side
    1,152.42x = 495,664.46
  5. Step 5: Solve for x
    x = 495,664.46/1,152.42
  6. Step 6: Final answer
    x = 430.11

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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.