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Finding the Fourth Proportional to 1,815.70, 2,723.55 and 583.12

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Solution

The fourth proportional to 1,815.70, 2,723.55 and 583.12 is: 874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.70 : 2,723.55 = 583.12 : x
  2. Step 2: Convert to fraction form
    1,815.70/2,723.55 = 583.12/x
  3. Step 3: Cross multiply
    1,815.70x = 2,723.55 × 583.12
  4. Step 4: Simplify right side
    1,815.70x = 1,588,156.48
  5. Step 5: Solve for x
    x = 1,588,156.48/1,815.70
  6. Step 6: Final answer
    x = 874.68

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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.