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Finding the Fourth Proportional to 1,570.12, 2,355.49 and 474.49

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Solution

The fourth proportional to 1,570.12, 2,355.49 and 474.49 is: 711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.12 : 2,355.49 = 474.49 : x
  2. Step 2: Convert to fraction form
    1,570.12/2,355.49 = 474.49/x
  3. Step 3: Cross multiply
    1,570.12x = 2,355.49 × 474.49
  4. Step 4: Simplify right side
    1,570.12x = 1,117,656.45
  5. Step 5: Solve for x
    x = 1,117,656.45/1,570.12
  6. Step 6: Final answer
    x = 711.83

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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.