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Finding the Fourth Proportional to 1,568.70, 2,353.42 and 473.07

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Solution

The fourth proportional to 1,568.70, 2,353.42 and 473.07 is: 709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.70 : 2,353.42 = 473.07 : x
  2. Step 2: Convert to fraction form
    1,568.70/2,353.42 = 473.07/x
  3. Step 3: Cross multiply
    1,568.70x = 2,353.42 × 473.07
  4. Step 4: Simplify right side
    1,568.70x = 1,113,341.82
  5. Step 5: Solve for x
    x = 1,113,341.82/1,568.70
  6. Step 6: Final answer
    x = 709.72

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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.