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Finding the Fourth Proportional to 1,565.51, 2,349.49 and 688.62

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Solution

The fourth proportional to 1,565.51, 2,349.49 and 688.62 is: 1,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.51 : 2,349.49 = 688.62 : x
  2. Step 2: Convert to fraction form
    1,565.51/2,349.49 = 688.62/x
  3. Step 3: Cross multiply
    1,565.51x = 2,349.49 × 688.62
  4. Step 4: Simplify right side
    1,565.51x = 1,617,890.61
  5. Step 5: Solve for x
    x = 1,617,890.61/1,565.51
  6. Step 6: Final answer
    x = 1,033.46

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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.