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Finding the Fourth Proportional to 599.41, 895.95 and 520.70

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Solution

The fourth proportional to 599.41, 895.95 and 520.70 is: 778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.41 : 895.95 = 520.70 : x
  2. Step 2: Convert to fraction form
    599.41/895.95 = 520.70/x
  3. Step 3: Cross multiply
    599.41x = 895.95 × 520.70
  4. Step 4: Simplify right side
    599.41x = 466,517.74
  5. Step 5: Solve for x
    x = 466,517.74/599.41
  6. Step 6: Final answer
    x = 778.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.