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Finding the Fourth Proportional to 736.48, 1,016.58 and 589.06

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Solution

The fourth proportional to 736.48, 1,016.58 and 589.06 is: 813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.48 : 1,016.58 = 589.06 : x
  2. Step 2: Convert to fraction form
    736.48/1,016.58 = 589.06/x
  3. Step 3: Cross multiply
    736.48x = 1,016.58 × 589.06
  4. Step 4: Simplify right side
    736.48x = 598,826.61
  5. Step 5: Solve for x
    x = 598,826.61/736.48
  6. Step 6: Final answer
    x = 813.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.