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Finding the Fourth Proportional to 651.44, 972.58 and 599.92

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Solution

The fourth proportional to 651.44, 972.58 and 599.92 is: 895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.44 : 972.58 = 599.92 : x
  2. Step 2: Convert to fraction form
    651.44/972.58 = 599.92/x
  3. Step 3: Cross multiply
    651.44x = 972.58 × 599.92
  4. Step 4: Simplify right side
    651.44x = 583,470.19
  5. Step 5: Solve for x
    x = 583,470.19/651.44
  6. Step 6: Final answer
    x = 895.66

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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.