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Finding the Fourth Proportional to 1,152.66, 1,728.96 and 286.98

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Solution

The fourth proportional to 1,152.66, 1,728.96 and 286.98 is: 430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.66 : 1,728.96 = 286.98 : x
  2. Step 2: Convert to fraction form
    1,152.66/1,728.96 = 286.98/x
  3. Step 3: Cross multiply
    1,152.66x = 1,728.96 × 286.98
  4. Step 4: Simplify right side
    1,152.66x = 496,176.94
  5. Step 5: Solve for x
    x = 496,176.94/1,152.66
  6. Step 6: Final answer
    x = 430.46

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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.