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Finding the Fourth Proportional to 947.24, 1,307.40 and 598.40

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Solution

The fourth proportional to 947.24, 1,307.40 and 598.40 is: 825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.24 : 1,307.40 = 598.40 : x
  2. Step 2: Convert to fraction form
    947.24/1,307.40 = 598.40/x
  3. Step 3: Cross multiply
    947.24x = 1,307.40 × 598.40
  4. Step 4: Simplify right side
    947.24x = 782,348.16
  5. Step 5: Solve for x
    x = 782,348.16/947.24
  6. Step 6: Final answer
    x = 825.92

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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.