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Finding the Fourth Proportional to 1,463.04, 2,018.76 and 833.52

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Solution

The fourth proportional to 1,463.04, 2,018.76 and 833.52 is: 1,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.04 : 2,018.76 = 833.52 : x
  2. Step 2: Convert to fraction form
    1,463.04/2,018.76 = 833.52/x
  3. Step 3: Cross multiply
    1,463.04x = 2,018.76 × 833.52
  4. Step 4: Simplify right side
    1,463.04x = 1,682,676.84
  5. Step 5: Solve for x
    x = 1,682,676.84/1,463.04
  6. Step 6: Final answer
    x = 1,150.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.