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Finding the Fourth Proportional to 1,314.39, 1,813.95 and 871.53

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Solution

The fourth proportional to 1,314.39, 1,813.95 and 871.53 is: 1,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.39 : 1,813.95 = 871.53 : x
  2. Step 2: Convert to fraction form
    1,314.39/1,813.95 = 871.53/x
  3. Step 3: Cross multiply
    1,314.39x = 1,813.95 × 871.53
  4. Step 4: Simplify right side
    1,314.39x = 1,580,911.84
  5. Step 5: Solve for x
    x = 1,580,911.84/1,314.39
  6. Step 6: Final answer
    x = 1,202.77

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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.