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Finding the Fourth Proportional to 651.84, 979.16 and 565.44

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Solution

The fourth proportional to 651.84, 979.16 and 565.44 is: 849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 979.16 = 565.44 : x
  2. Step 2: Convert to fraction form
    651.84/979.16 = 565.44/x
  3. Step 3: Cross multiply
    651.84x = 979.16 × 565.44
  4. Step 4: Simplify right side
    651.84x = 553,656.23
  5. Step 5: Solve for x
    x = 553,656.23/651.84
  6. Step 6: Final answer
    x = 849.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.