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Finding the Fourth Proportional to 934.20, 1,288.58 and 653.94

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Solution

The fourth proportional to 934.20, 1,288.58 and 653.94 is: 902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.20 : 1,288.58 = 653.94 : x
  2. Step 2: Convert to fraction form
    934.20/1,288.58 = 653.94/x
  3. Step 3: Cross multiply
    934.20x = 1,288.58 × 653.94
  4. Step 4: Simplify right side
    934.20x = 842,650.74
  5. Step 5: Solve for x
    x = 842,650.74/934.20
  6. Step 6: Final answer
    x = 902.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.