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Finding the Fourth Proportional to 1,570.97, 2,357.07 and 475.45

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Solution

The fourth proportional to 1,570.97, 2,357.07 and 475.45 is: 713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.97 : 2,357.07 = 475.45 : x
  2. Step 2: Convert to fraction form
    1,570.97/2,357.07 = 475.45/x
  3. Step 3: Cross multiply
    1,570.97x = 2,357.07 × 475.45
  4. Step 4: Simplify right side
    1,570.97x = 1,120,657.15
  5. Step 5: Solve for x
    x = 1,120,657.15/1,570.97
  6. Step 6: Final answer
    x = 713.35

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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.