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Finding the Fourth Proportional to 897.77, 1,238.33 and 565.61

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Solution

The fourth proportional to 897.77, 1,238.33 and 565.61 is: 780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.77 : 1,238.33 = 565.61 : x
  2. Step 2: Convert to fraction form
    897.77/1,238.33 = 565.61/x
  3. Step 3: Cross multiply
    897.77x = 1,238.33 × 565.61
  4. Step 4: Simplify right side
    897.77x = 700,402.81
  5. Step 5: Solve for x
    x = 700,402.81/897.77
  6. Step 6: Final answer
    x = 780.16

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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.