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Finding the Fourth Proportional to 650.24, 970 and 606.08

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Solution

The fourth proportional to 650.24, 970 and 606.08 is: 904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.24 : 970 = 606.08 : x
  2. Step 2: Convert to fraction form
    650.24/970 = 606.08/x
  3. Step 3: Cross multiply
    650.24x = 970 × 606.08
  4. Step 4: Simplify right side
    650.24x = 587,897.60
  5. Step 5: Solve for x
    x = 587,897.60/650.24
  6. Step 6: Final answer
    x = 904.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.