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Finding the Fourth Proportional to 1,316.36, 1,972.92 and 493.76

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Solution

The fourth proportional to 1,316.36, 1,972.92 and 493.76 is: 740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.36 : 1,972.92 = 493.76 : x
  2. Step 2: Convert to fraction form
    1,316.36/1,972.92 = 493.76/x
  3. Step 3: Cross multiply
    1,316.36x = 1,972.92 × 493.76
  4. Step 4: Simplify right side
    1,316.36x = 974,148.98
  5. Step 5: Solve for x
    x = 974,148.98/1,316.36
  6. Step 6: Final answer
    x = 740.03

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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.