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Finding the Fourth Proportional to 1,733.10, 2,599.58 and 563.05

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Solution

The fourth proportional to 1,733.10, 2,599.58 and 563.05 is: 844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.10 : 2,599.58 = 563.05 : x
  2. Step 2: Convert to fraction form
    1,733.10/2,599.58 = 563.05/x
  3. Step 3: Cross multiply
    1,733.10x = 2,599.58 × 563.05
  4. Step 4: Simplify right side
    1,733.10x = 1,463,690.70
  5. Step 5: Solve for x
    x = 1,463,690.70/1,733.10
  6. Step 6: Final answer
    x = 844.55

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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.