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Finding the Fourth Proportional to 651.87, 898.70 and 564.39

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Solution

The fourth proportional to 651.87, 898.70 and 564.39 is: 778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.87 : 898.70 = 564.39 : x
  2. Step 2: Convert to fraction form
    651.87/898.70 = 564.39/x
  3. Step 3: Cross multiply
    651.87x = 898.70 × 564.39
  4. Step 4: Simplify right side
    651.87x = 507,214.47
  5. Step 5: Solve for x
    x = 507,214.47/651.87
  6. Step 6: Final answer
    x = 778.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.