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Finding the Fourth Proportional to 1,071.61, 1,603.67 and 898.47

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Solution

The fourth proportional to 1,071.61, 1,603.67 and 898.47 is: 1,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.61 : 1,603.67 = 898.47 : x
  2. Step 2: Convert to fraction form
    1,071.61/1,603.67 = 898.47/x
  3. Step 3: Cross multiply
    1,071.61x = 1,603.67 × 898.47
  4. Step 4: Simplify right side
    1,071.61x = 1,440,844.89
  5. Step 5: Solve for x
    x = 1,440,844.89/1,071.61
  6. Step 6: Final answer
    x = 1,344.56

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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.