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Finding the Fourth Proportional to 1,152.53, 1,728.92 and 412.07

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Solution

The fourth proportional to 1,152.53, 1,728.92 and 412.07 is: 618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.53 : 1,728.92 = 412.07 : x
  2. Step 2: Convert to fraction form
    1,152.53/1,728.92 = 412.07/x
  3. Step 3: Cross multiply
    1,152.53x = 1,728.92 × 412.07
  4. Step 4: Simplify right side
    1,152.53x = 712,436.06
  5. Step 5: Solve for x
    x = 712,436.06/1,152.53
  6. Step 6: Final answer
    x = 618.15

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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.