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Finding the Fourth Proportional to 1,071.67, 1,603.59 and 633.13

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Solution

The fourth proportional to 1,071.67, 1,603.59 and 633.13 is: 947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.67 : 1,603.59 = 633.13 : x
  2. Step 2: Convert to fraction form
    1,071.67/1,603.59 = 633.13/x
  3. Step 3: Cross multiply
    1,071.67x = 1,603.59 × 633.13
  4. Step 4: Simplify right side
    1,071.67x = 1,015,280.94
  5. Step 5: Solve for x
    x = 1,015,280.94/1,071.67
  6. Step 6: Final answer
    x = 947.38

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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.