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Finding the Fourth Proportional to 1,698.20, 2,547.55 and 773.75

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Solution

The fourth proportional to 1,698.20, 2,547.55 and 773.75 is: 1,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.20 : 2,547.55 = 773.75 : x
  2. Step 2: Convert to fraction form
    1,698.20/2,547.55 = 773.75/x
  3. Step 3: Cross multiply
    1,698.20x = 2,547.55 × 773.75
  4. Step 4: Simplify right side
    1,698.20x = 1,971,174.15
  5. Step 5: Solve for x
    x = 1,971,174.15/1,698.20
  6. Step 6: Final answer
    x = 1,160.74

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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.