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Finding the Fourth Proportional to 1,316.17, 1,973.62 and 700.17

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Solution

The fourth proportional to 1,316.17, 1,973.62 and 700.17 is: 1,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.17 : 1,973.62 = 700.17 : x
  2. Step 2: Convert to fraction form
    1,316.17/1,973.62 = 700.17/x
  3. Step 3: Cross multiply
    1,316.17x = 1,973.62 × 700.17
  4. Step 4: Simplify right side
    1,316.17x = 1,381,869.52
  5. Step 5: Solve for x
    x = 1,381,869.52/1,316.17
  6. Step 6: Final answer
    x = 1,049.92

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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.