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Finding the Fourth Proportional to 651.65, 975.15 and 522.48

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Solution

The fourth proportional to 651.65, 975.15 and 522.48 is: 781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.65 : 975.15 = 522.48 : x
  2. Step 2: Convert to fraction form
    651.65/975.15 = 522.48/x
  3. Step 3: Cross multiply
    651.65x = 975.15 × 522.48
  4. Step 4: Simplify right side
    651.65x = 509,491.50
  5. Step 5: Solve for x
    x = 509,491.50/651.65
  6. Step 6: Final answer
    x = 781.85

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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.