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Finding the Fourth Proportional to 1,152.34, 1,728.47 and 286.65

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Solution

The fourth proportional to 1,152.34, 1,728.47 and 286.65 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.34 : 1,728.47 = 286.65 : x
  2. Step 2: Convert to fraction form
    1,152.34/1,728.47 = 286.65/x
  3. Step 3: Cross multiply
    1,152.34x = 1,728.47 × 286.65
  4. Step 4: Simplify right side
    1,152.34x = 495,457.28
  5. Step 5: Solve for x
    x = 495,457.28/1,152.34
  6. Step 6: Final answer
    x = 429.96

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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.