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Finding the Fourth Proportional to 1,987.80, 2,980.74 and 600.90

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Solution

The fourth proportional to 1,987.80, 2,980.74 and 600.90 is: 901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.80 : 2,980.74 = 600.90 : x
  2. Step 2: Convert to fraction form
    1,987.80/2,980.74 = 600.90/x
  3. Step 3: Cross multiply
    1,987.80x = 2,980.74 × 600.90
  4. Step 4: Simplify right side
    1,987.80x = 1,791,126.67
  5. Step 5: Solve for x
    x = 1,791,126.67/1,987.80
  6. Step 6: Final answer
    x = 901.06

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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.