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Finding the Fourth Proportional to 1,071.32, 1,607.03 and 340.95

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Solution

The fourth proportional to 1,071.32, 1,607.03 and 340.95 is: 511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.32 : 1,607.03 = 340.95 : x
  2. Step 2: Convert to fraction form
    1,071.32/1,607.03 = 340.95/x
  3. Step 3: Cross multiply
    1,071.32x = 1,607.03 × 340.95
  4. Step 4: Simplify right side
    1,071.32x = 547,915.17
  5. Step 5: Solve for x
    x = 547,915.17/1,071.32
  6. Step 6: Final answer
    x = 511.44

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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.