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Finding the Fourth Proportional to 897.95, 1,239.33 and 584.15

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Solution

The fourth proportional to 897.95, 1,239.33 and 584.15 is: 806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.95 : 1,239.33 = 584.15 : x
  2. Step 2: Convert to fraction form
    897.95/1,239.33 = 584.15/x
  3. Step 3: Cross multiply
    897.95x = 1,239.33 × 584.15
  4. Step 4: Simplify right side
    897.95x = 723,950.61
  5. Step 5: Solve for x
    x = 723,950.61/897.95
  6. Step 6: Final answer
    x = 806.22

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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.