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Finding the Fourth Proportional to 1,570.49, 2,356.11 and 474.78

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Solution

The fourth proportional to 1,570.49, 2,356.11 and 474.78 is: 712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.49 : 2,356.11 = 474.78 : x
  2. Step 2: Convert to fraction form
    1,570.49/2,356.11 = 474.78/x
  3. Step 3: Cross multiply
    1,570.49x = 2,356.11 × 474.78
  4. Step 4: Simplify right side
    1,570.49x = 1,118,642.74
  5. Step 5: Solve for x
    x = 1,118,642.74/1,570.49
  6. Step 6: Final answer
    x = 712.29

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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.