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Finding the Fourth Proportional to 675.48, 931.83 and 582.06

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Solution

The fourth proportional to 675.48, 931.83 and 582.06 is: 802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.48 : 931.83 = 582.06 : x
  2. Step 2: Convert to fraction form
    675.48/931.83 = 582.06/x
  3. Step 3: Cross multiply
    675.48x = 931.83 × 582.06
  4. Step 4: Simplify right side
    675.48x = 542,378.06
  5. Step 5: Solve for x
    x = 542,378.06/675.48
  6. Step 6: Final answer
    x = 802.96

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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.