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Finding the Fourth Proportional to 1,242.71, 1,715.01 and 718.82

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Solution

The fourth proportional to 1,242.71, 1,715.01 and 718.82 is: 992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.71 : 1,715.01 = 718.82 : x
  2. Step 2: Convert to fraction form
    1,242.71/1,715.01 = 718.82/x
  3. Step 3: Cross multiply
    1,242.71x = 1,715.01 × 718.82
  4. Step 4: Simplify right side
    1,242.71x = 1,232,783.49
  5. Step 5: Solve for x
    x = 1,232,783.49/1,242.71
  6. Step 6: Final answer
    x = 992.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.