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Finding the Fourth Proportional to 1,570.46, 2,356.22 and 475.07

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Solution

The fourth proportional to 1,570.46, 2,356.22 and 475.07 is: 712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.46 : 2,356.22 = 475.07 : x
  2. Step 2: Convert to fraction form
    1,570.46/2,356.22 = 475.07/x
  3. Step 3: Cross multiply
    1,570.46x = 2,356.22 × 475.07
  4. Step 4: Simplify right side
    1,570.46x = 1,119,358.84
  5. Step 5: Solve for x
    x = 1,119,358.84/1,570.46
  6. Step 6: Final answer
    x = 712.76

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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.