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Finding the Fourth Proportional to 715.94, 1,074.10 and 570.24

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Solution

The fourth proportional to 715.94, 1,074.10 and 570.24 is: 855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.94 : 1,074.10 = 570.24 : x
  2. Step 2: Convert to fraction form
    715.94/1,074.10 = 570.24/x
  3. Step 3: Cross multiply
    715.94x = 1,074.10 × 570.24
  4. Step 4: Simplify right side
    715.94x = 612,494.78
  5. Step 5: Solve for x
    x = 612,494.78/715.94
  6. Step 6: Final answer
    x = 855.51

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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.