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Finding the Fourth Proportional to 922.39, 1,274.14 and 737.18

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Solution

The fourth proportional to 922.39, 1,274.14 and 737.18 is: 1,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.39 : 1,274.14 = 737.18 : x
  2. Step 2: Convert to fraction form
    922.39/1,274.14 = 737.18/x
  3. Step 3: Cross multiply
    922.39x = 1,274.14 × 737.18
  4. Step 4: Simplify right side
    922.39x = 939,264.15
  5. Step 5: Solve for x
    x = 939,264.15/922.39
  6. Step 6: Final answer
    x = 1,018.30

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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.