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Finding the Fourth Proportional to 1,698.79, 2,546.55 and 928.75

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Solution

The fourth proportional to 1,698.79, 2,546.55 and 928.75 is: 1,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.79 : 2,546.55 = 928.75 : x
  2. Step 2: Convert to fraction form
    1,698.79/2,546.55 = 928.75/x
  3. Step 3: Cross multiply
    1,698.79x = 2,546.55 × 928.75
  4. Step 4: Simplify right side
    1,698.79x = 2,365,108.31
  5. Step 5: Solve for x
    x = 2,365,108.31/1,698.79
  6. Step 6: Final answer
    x = 1,392.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.