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Finding the Fourth Proportional to 1,570.20, 2,354.61 and 474.31

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Solution

The fourth proportional to 1,570.20, 2,354.61 and 474.31 is: 711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.20 : 2,354.61 = 474.31 : x
  2. Step 2: Convert to fraction form
    1,570.20/2,354.61 = 474.31/x
  3. Step 3: Cross multiply
    1,570.20x = 2,354.61 × 474.31
  4. Step 4: Simplify right side
    1,570.20x = 1,116,806.21
  5. Step 5: Solve for x
    x = 1,116,806.21/1,570.20
  6. Step 6: Final answer
    x = 711.25

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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.