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Finding the Fourth Proportional to 709.56, 1,058.13 and 703.08

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Solution

The fourth proportional to 709.56, 1,058.13 and 703.08 is: 1,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.56 : 1,058.13 = 703.08 : x
  2. Step 2: Convert to fraction form
    709.56/1,058.13 = 703.08/x
  3. Step 3: Cross multiply
    709.56x = 1,058.13 × 703.08
  4. Step 4: Simplify right side
    709.56x = 743,950.04
  5. Step 5: Solve for x
    x = 743,950.04/709.56
  6. Step 6: Final answer
    x = 1,048.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.