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Finding the Fourth Proportional to 1,772.35, 2,658.52 and 473.81

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Solution

The fourth proportional to 1,772.35, 2,658.52 and 473.81 is: 710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.35 : 2,658.52 = 473.81 : x
  2. Step 2: Convert to fraction form
    1,772.35/2,658.52 = 473.81/x
  3. Step 3: Cross multiply
    1,772.35x = 2,658.52 × 473.81
  4. Step 4: Simplify right side
    1,772.35x = 1,259,643.33
  5. Step 5: Solve for x
    x = 1,259,643.33/1,772.35
  6. Step 6: Final answer
    x = 710.72

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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.