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Finding the Fourth Proportional to 1,570.45, 2,355.06 and 474.43

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Solution

The fourth proportional to 1,570.45, 2,355.06 and 474.43 is: 711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.45 : 2,355.06 = 474.43 : x
  2. Step 2: Convert to fraction form
    1,570.45/2,355.06 = 474.43/x
  3. Step 3: Cross multiply
    1,570.45x = 2,355.06 × 474.43
  4. Step 4: Simplify right side
    1,570.45x = 1,117,311.12
  5. Step 5: Solve for x
    x = 1,117,311.12/1,570.45
  6. Step 6: Final answer
    x = 711.46

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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.