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Finding the Fourth Proportional to 1,710.41, 2,565.59 and 477.89

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Solution

The fourth proportional to 1,710.41, 2,565.59 and 477.89 is: 716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.41 : 2,565.59 = 477.89 : x
  2. Step 2: Convert to fraction form
    1,710.41/2,565.59 = 477.89/x
  3. Step 3: Cross multiply
    1,710.41x = 2,565.59 × 477.89
  4. Step 4: Simplify right side
    1,710.41x = 1,226,067.42
  5. Step 5: Solve for x
    x = 1,226,067.42/1,710.41
  6. Step 6: Final answer
    x = 716.83

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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.