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Finding the Fourth Proportional to 897.62, 1,238.40 and 565.93

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Solution

The fourth proportional to 897.62, 1,238.40 and 565.93 is: 780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.62 : 1,238.40 = 565.93 : x
  2. Step 2: Convert to fraction form
    897.62/1,238.40 = 565.93/x
  3. Step 3: Cross multiply
    897.62x = 1,238.40 × 565.93
  4. Step 4: Simplify right side
    897.62x = 700,847.71
  5. Step 5: Solve for x
    x = 700,847.71/897.62
  6. Step 6: Final answer
    x = 780.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.