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Finding the Fourth Proportional to 1,772.49, 2,658.74 and 473.93

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Solution

The fourth proportional to 1,772.49, 2,658.74 and 473.93 is: 710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.49 : 2,658.74 = 473.93 : x
  2. Step 2: Convert to fraction form
    1,772.49/2,658.74 = 473.93/x
  3. Step 3: Cross multiply
    1,772.49x = 2,658.74 × 473.93
  4. Step 4: Simplify right side
    1,772.49x = 1,260,044.07
  5. Step 5: Solve for x
    x = 1,260,044.07/1,772.49
  6. Step 6: Final answer
    x = 710.89

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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.