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Finding the Fourth Proportional to 841.95, 1,162.93 and 594.37

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Solution

The fourth proportional to 841.95, 1,162.93 and 594.37 is: 820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.95 : 1,162.93 = 594.37 : x
  2. Step 2: Convert to fraction form
    841.95/1,162.93 = 594.37/x
  3. Step 3: Cross multiply
    841.95x = 1,162.93 × 594.37
  4. Step 4: Simplify right side
    841.95x = 691,209.93
  5. Step 5: Solve for x
    x = 691,209.93/841.95
  6. Step 6: Final answer
    x = 820.97

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