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Finding the Fourth Proportional to 1,314.05, 1,813.23 and 724.63

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Solution

The fourth proportional to 1,314.05, 1,813.23 and 724.63 is: 999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.05 : 1,813.23 = 724.63 : x
  2. Step 2: Convert to fraction form
    1,314.05/1,813.23 = 724.63/x
  3. Step 3: Cross multiply
    1,314.05x = 1,813.23 × 724.63
  4. Step 4: Simplify right side
    1,314.05x = 1,313,916.32
  5. Step 5: Solve for x
    x = 1,313,916.32/1,314.05
  6. Step 6: Final answer
    x = 999.90

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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.