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Finding the Fourth Proportional to 897.83, 1,235.88 and 773.90

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Solution

The fourth proportional to 897.83, 1,235.88 and 773.90 is: 1,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.83 : 1,235.88 = 773.90 : x
  2. Step 2: Convert to fraction form
    897.83/1,235.88 = 773.90/x
  3. Step 3: Cross multiply
    897.83x = 1,235.88 × 773.90
  4. Step 4: Simplify right side
    897.83x = 956,441.35
  5. Step 5: Solve for x
    x = 956,441.35/897.83
  6. Step 6: Final answer
    x = 1,065.29

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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.