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Finding the Fourth Proportional to 1,983.85, 2,975.76 and 597.18

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Solution

The fourth proportional to 1,983.85, 2,975.76 and 597.18 is: 895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.85 : 2,975.76 = 597.18 : x
  2. Step 2: Convert to fraction form
    1,983.85/2,975.76 = 597.18/x
  3. Step 3: Cross multiply
    1,983.85x = 2,975.76 × 597.18
  4. Step 4: Simplify right side
    1,983.85x = 1,777,064.36
  5. Step 5: Solve for x
    x = 1,777,064.36/1,983.85
  6. Step 6: Final answer
    x = 895.77

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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.