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Finding the Fourth Proportional to 1,570.68, 2,355.96 and 475.38

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Solution

The fourth proportional to 1,570.68, 2,355.96 and 475.38 is: 713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.68 : 2,355.96 = 475.38 : x
  2. Step 2: Convert to fraction form
    1,570.68/2,355.96 = 475.38/x
  3. Step 3: Cross multiply
    1,570.68x = 2,355.96 × 475.38
  4. Step 4: Simplify right side
    1,570.68x = 1,119,976.26
  5. Step 5: Solve for x
    x = 1,119,976.26/1,570.68
  6. Step 6: Final answer
    x = 713.05

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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.