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Finding the Fourth Proportional to 653.00, 978.28 and 469.94

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Solution

The fourth proportional to 653.00, 978.28 and 469.94 is: 704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.00 : 978.28 = 469.94 : x
  2. Step 2: Convert to fraction form
    653.00/978.28 = 469.94/x
  3. Step 3: Cross multiply
    653.00x = 978.28 × 469.94
  4. Step 4: Simplify right side
    653.00x = 459,726.84
  5. Step 5: Solve for x
    x = 459,726.84/653.00
  6. Step 6: Final answer
    x = 704.03

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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.