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Finding the Fourth Proportional to 715.41, 1,073.16 and 585.54

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Solution

The fourth proportional to 715.41, 1,073.16 and 585.54 is: 878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.41 : 1,073.16 = 585.54 : x
  2. Step 2: Convert to fraction form
    715.41/1,073.16 = 585.54/x
  3. Step 3: Cross multiply
    715.41x = 1,073.16 × 585.54
  4. Step 4: Simplify right side
    715.41x = 628,378.11
  5. Step 5: Solve for x
    x = 628,378.11/715.41
  6. Step 6: Final answer
    x = 878.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.