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Finding the Fourth Proportional to 1,463.51, 2,193.81 and 585.75

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Solution

The fourth proportional to 1,463.51, 2,193.81 and 585.75 is: 878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.51 : 2,193.81 = 585.75 : x
  2. Step 2: Convert to fraction form
    1,463.51/2,193.81 = 585.75/x
  3. Step 3: Cross multiply
    1,463.51x = 2,193.81 × 585.75
  4. Step 4: Simplify right side
    1,463.51x = 1,285,024.21
  5. Step 5: Solve for x
    x = 1,285,024.21/1,463.51
  6. Step 6: Final answer
    x = 878.05

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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.