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Finding the Fourth Proportional to 1,071.33, 1,607.04 and 341.01

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Solution

The fourth proportional to 1,071.33, 1,607.04 and 341.01 is: 511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.33 : 1,607.04 = 341.01 : x
  2. Step 2: Convert to fraction form
    1,071.33/1,607.04 = 341.01/x
  3. Step 3: Cross multiply
    1,071.33x = 1,607.04 × 341.01
  4. Step 4: Simplify right side
    1,071.33x = 548,016.71
  5. Step 5: Solve for x
    x = 548,016.71/1,071.33
  6. Step 6: Final answer
    x = 511.53

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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.