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Finding the Fourth Proportional to 651.66, 897.03 and 563.10

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Solution

The fourth proportional to 651.66, 897.03 and 563.10 is: 775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.66 : 897.03 = 563.10 : x
  2. Step 2: Convert to fraction form
    651.66/897.03 = 563.10/x
  3. Step 3: Cross multiply
    651.66x = 897.03 × 563.10
  4. Step 4: Simplify right side
    651.66x = 505,117.59
  5. Step 5: Solve for x
    x = 505,117.59/651.66
  6. Step 6: Final answer
    x = 775.12

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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.