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Finding the Fourth Proportional to 897.35, 1,237.82 and 565.19

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Solution

The fourth proportional to 897.35, 1,237.82 and 565.19 is: 779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.35 : 1,237.82 = 565.19 : x
  2. Step 2: Convert to fraction form
    897.35/1,237.82 = 565.19/x
  3. Step 3: Cross multiply
    897.35x = 1,237.82 × 565.19
  4. Step 4: Simplify right side
    897.35x = 699,603.75
  5. Step 5: Solve for x
    x = 699,603.75/897.35
  6. Step 6: Final answer
    x = 779.64

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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.