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Finding the Fourth Proportional to 1,728.53, 2,592.81 and 558.66

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Solution

The fourth proportional to 1,728.53, 2,592.81 and 558.66 is: 838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.53 : 2,592.81 = 558.66 : x
  2. Step 2: Convert to fraction form
    1,728.53/2,592.81 = 558.66/x
  3. Step 3: Cross multiply
    1,728.53x = 2,592.81 × 558.66
  4. Step 4: Simplify right side
    1,728.53x = 1,448,499.23
  5. Step 5: Solve for x
    x = 1,448,499.23/1,728.53
  6. Step 6: Final answer
    x = 838.00

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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.