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Finding the Fourth Proportional to 715.42, 1,074.35 and 585.42

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Solution

The fourth proportional to 715.42, 1,074.35 and 585.42 is: 879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.42 : 1,074.35 = 585.42 : x
  2. Step 2: Convert to fraction form
    715.42/1,074.35 = 585.42/x
  3. Step 3: Cross multiply
    715.42x = 1,074.35 × 585.42
  4. Step 4: Simplify right side
    715.42x = 628,945.98
  5. Step 5: Solve for x
    x = 628,945.98/715.42
  6. Step 6: Final answer
    x = 879.13

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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.