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Finding the Fourth Proportional to 651.61, 973.89 and 599.72

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Solution

The fourth proportional to 651.61, 973.89 and 599.72 is: 896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.61 : 973.89 = 599.72 : x
  2. Step 2: Convert to fraction form
    651.61/973.89 = 599.72/x
  3. Step 3: Cross multiply
    651.61x = 973.89 × 599.72
  4. Step 4: Simplify right side
    651.61x = 584,061.31
  5. Step 5: Solve for x
    x = 584,061.31/651.61
  6. Step 6: Final answer
    x = 896.34

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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.