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Finding the Fourth Proportional to 653.24, 978.78 and 637.04

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Solution

The fourth proportional to 653.24, 978.78 and 637.04 is: 954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 978.78 = 637.04 : x
  2. Step 2: Convert to fraction form
    653.24/978.78 = 637.04/x
  3. Step 3: Cross multiply
    653.24x = 978.78 × 637.04
  4. Step 4: Simplify right side
    653.24x = 623,522.01
  5. Step 5: Solve for x
    x = 623,522.01/653.24
  6. Step 6: Final answer
    x = 954.51

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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.