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Finding the Fourth Proportional to 1,205.95, 1,807.18 and 588.96

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Solution

The fourth proportional to 1,205.95, 1,807.18 and 588.96 is: 882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.95 : 1,807.18 = 588.96 : x
  2. Step 2: Convert to fraction form
    1,205.95/1,807.18 = 588.96/x
  3. Step 3: Cross multiply
    1,205.95x = 1,807.18 × 588.96
  4. Step 4: Simplify right side
    1,205.95x = 1,064,356.73
  5. Step 5: Solve for x
    x = 1,064,356.73/1,205.95
  6. Step 6: Final answer
    x = 882.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.