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Finding the Fourth Proportional to 651.81, 978.14 and 608.56

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Solution

The fourth proportional to 651.81, 978.14 and 608.56 is: 913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.81 : 978.14 = 608.56 : x
  2. Step 2: Convert to fraction form
    651.81/978.14 = 608.56/x
  3. Step 3: Cross multiply
    651.81x = 978.14 × 608.56
  4. Step 4: Simplify right side
    651.81x = 595,256.88
  5. Step 5: Solve for x
    x = 595,256.88/651.81
  6. Step 6: Final answer
    x = 913.24

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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.