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Finding the Fourth Proportional to 1,016.68, 1,526.72 and 608.36

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Solution

The fourth proportional to 1,016.68, 1,526.72 and 608.36 is: 913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.68 : 1,526.72 = 608.36 : x
  2. Step 2: Convert to fraction form
    1,016.68/1,526.72 = 608.36/x
  3. Step 3: Cross multiply
    1,016.68x = 1,526.72 × 608.36
  4. Step 4: Simplify right side
    1,016.68x = 928,795.38
  5. Step 5: Solve for x
    x = 928,795.38/1,016.68
  6. Step 6: Final answer
    x = 913.56

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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.