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Finding the Fourth Proportional to 947.64, 1,307.82 and 598.68

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Solution

The fourth proportional to 947.64, 1,307.82 and 598.68 is: 826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.64 : 1,307.82 = 598.68 : x
  2. Step 2: Convert to fraction form
    947.64/1,307.82 = 598.68/x
  3. Step 3: Cross multiply
    947.64x = 1,307.82 × 598.68
  4. Step 4: Simplify right side
    947.64x = 782,965.68
  5. Step 5: Solve for x
    x = 782,965.68/947.64
  6. Step 6: Final answer
    x = 826.23

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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.