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Finding the Fourth Proportional to 1,772.53, 2,658.72 and 474.00

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Solution

The fourth proportional to 1,772.53, 2,658.72 and 474.00 is: 710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.53 : 2,658.72 = 474.00 : x
  2. Step 2: Convert to fraction form
    1,772.53/2,658.72 = 474.00/x
  3. Step 3: Cross multiply
    1,772.53x = 2,658.72 × 474.00
  4. Step 4: Simplify right side
    1,772.53x = 1,260,240.04
  5. Step 5: Solve for x
    x = 1,260,240.04/1,772.53
  6. Step 6: Final answer
    x = 710.98

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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.