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Finding the Fourth Proportional to 947.40, 1,308.18 and 653.64

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Solution

The fourth proportional to 947.40, 1,308.18 and 653.64 is: 902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.40 : 1,308.18 = 653.64 : x
  2. Step 2: Convert to fraction form
    947.40/1,308.18 = 653.64/x
  3. Step 3: Cross multiply
    947.40x = 1,308.18 × 653.64
  4. Step 4: Simplify right side
    947.40x = 855,078.78
  5. Step 5: Solve for x
    x = 855,078.78/947.40
  6. Step 6: Final answer
    x = 902.55

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1.5x scale

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.