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Finding the Fourth Proportional to 1,313.66, 1,812.82 and 724.19

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Solution

The fourth proportional to 1,313.66, 1,812.82 and 724.19 is: 999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.66 : 1,812.82 = 724.19 : x
  2. Step 2: Convert to fraction form
    1,313.66/1,812.82 = 724.19/x
  3. Step 3: Cross multiply
    1,313.66x = 1,812.82 × 724.19
  4. Step 4: Simplify right side
    1,313.66x = 1,312,826.12
  5. Step 5: Solve for x
    x = 1,312,826.12/1,313.66
  6. Step 6: Final answer
    x = 999.37

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Half scale
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Double scale
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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.