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Finding the Fourth Proportional to 723.18, 1,085.08 and 632.06

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Solution

The fourth proportional to 723.18, 1,085.08 and 632.06 is: 948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.18 : 1,085.08 = 632.06 : x
  2. Step 2: Convert to fraction form
    723.18/1,085.08 = 632.06/x
  3. Step 3: Cross multiply
    723.18x = 1,085.08 × 632.06
  4. Step 4: Simplify right side
    723.18x = 685,835.66
  5. Step 5: Solve for x
    x = 685,835.66/723.18
  6. Step 6: Final answer
    x = 948.36

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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.