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Finding the Fourth Proportional to 651.84, 896 and 584.88

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Solution

The fourth proportional to 651.84, 896 and 584.88 is: 803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 896 = 584.88 : x
  2. Step 2: Convert to fraction form
    651.84/896 = 584.88/x
  3. Step 3: Cross multiply
    651.84x = 896 × 584.88
  4. Step 4: Simplify right side
    651.84x = 524,052.48
  5. Step 5: Solve for x
    x = 524,052.48/651.84
  6. Step 6: Final answer
    x = 803.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.