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Finding the Fourth Proportional to 984.92, 1,472.04 and 907.08

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Solution

The fourth proportional to 984.92, 1,472.04 and 907.08 is: 1,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.92 : 1,472.04 = 907.08 : x
  2. Step 2: Convert to fraction form
    984.92/1,472.04 = 907.08/x
  3. Step 3: Cross multiply
    984.92x = 1,472.04 × 907.08
  4. Step 4: Simplify right side
    984.92x = 1,335,258.04
  5. Step 5: Solve for x
    x = 1,335,258.04/984.92
  6. Step 6: Final answer
    x = 1,355.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.