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Finding the Fourth Proportional to 648.90, 973.59 and 475.74

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Solution

The fourth proportional to 648.90, 973.59 and 475.74 is: 713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.90 : 973.59 = 475.74 : x
  2. Step 2: Convert to fraction form
    648.90/973.59 = 475.74/x
  3. Step 3: Cross multiply
    648.90x = 973.59 × 475.74
  4. Step 4: Simplify right side
    648.90x = 463,175.71
  5. Step 5: Solve for x
    x = 463,175.71/648.90
  6. Step 6: Final answer
    x = 713.79

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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.