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Finding the Fourth Proportional to 1,568.73, 2,352.99 and 473.10

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Solution

The fourth proportional to 1,568.73, 2,352.99 and 473.10 is: 709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.73 : 2,352.99 = 473.10 : x
  2. Step 2: Convert to fraction form
    1,568.73/2,352.99 = 473.10/x
  3. Step 3: Cross multiply
    1,568.73x = 2,352.99 × 473.10
  4. Step 4: Simplify right side
    1,568.73x = 1,113,197.79
  5. Step 5: Solve for x
    x = 1,113,197.79/1,568.73
  6. Step 6: Final answer
    x = 709.62

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.