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Finding the Fourth Proportional to 862.36, 1,291.47 and 715.02

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Solution

The fourth proportional to 862.36, 1,291.47 and 715.02 is: 1,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.36 : 1,291.47 = 715.02 : x
  2. Step 2: Convert to fraction form
    862.36/1,291.47 = 715.02/x
  3. Step 3: Cross multiply
    862.36x = 1,291.47 × 715.02
  4. Step 4: Simplify right side
    862.36x = 923,419.36
  5. Step 5: Solve for x
    x = 923,419.36/862.36
  6. Step 6: Final answer
    x = 1,070.81

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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.