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Finding the Fourth Proportional to 1,048.23, 1,570.51 and 935.23

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Solution

The fourth proportional to 1,048.23, 1,570.51 and 935.23 is: 1,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.23 : 1,570.51 = 935.23 : x
  2. Step 2: Convert to fraction form
    1,048.23/1,570.51 = 935.23/x
  3. Step 3: Cross multiply
    1,048.23x = 1,570.51 × 935.23
  4. Step 4: Simplify right side
    1,048.23x = 1,468,788.07
  5. Step 5: Solve for x
    x = 1,468,788.07/1,048.23
  6. Step 6: Final answer
    x = 1,401.21

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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.