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Finding the Fourth Proportional to 651.17, 975.54 and 506.18

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Solution

The fourth proportional to 651.17, 975.54 and 506.18 is: 758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.17 : 975.54 = 506.18 : x
  2. Step 2: Convert to fraction form
    651.17/975.54 = 506.18/x
  3. Step 3: Cross multiply
    651.17x = 975.54 × 506.18
  4. Step 4: Simplify right side
    651.17x = 493,798.84
  5. Step 5: Solve for x
    x = 493,798.84/651.17
  6. Step 6: Final answer
    x = 758.33

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Why These Related Problems?

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