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Finding the Fourth Proportional to 1,710.56, 2,565.36 and 540.65

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Solution

The fourth proportional to 1,710.56, 2,565.36 and 540.65 is: 810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.56 : 2,565.36 = 540.65 : x
  2. Step 2: Convert to fraction form
    1,710.56/2,565.36 = 540.65/x
  3. Step 3: Cross multiply
    1,710.56x = 2,565.36 × 540.65
  4. Step 4: Simplify right side
    1,710.56x = 1,386,961.88
  5. Step 5: Solve for x
    x = 1,386,961.88/1,710.56
  6. Step 6: Final answer
    x = 810.82

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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.