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Finding the Fourth Proportional to 1,533.99, 2,117.25 and 871.05

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Solution

The fourth proportional to 1,533.99, 2,117.25 and 871.05 is: 1,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.99 : 2,117.25 = 871.05 : x
  2. Step 2: Convert to fraction form
    1,533.99/2,117.25 = 871.05/x
  3. Step 3: Cross multiply
    1,533.99x = 2,117.25 × 871.05
  4. Step 4: Simplify right side
    1,533.99x = 1,844,230.61
  5. Step 5: Solve for x
    x = 1,844,230.61/1,533.99
  6. Step 6: Final answer
    x = 1,202.24

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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.