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Finding the Fourth Proportional to 675.78, 931.50 and 582

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Solution

The fourth proportional to 675.78, 931.50 and 582 is: 802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.78 : 931.50 = 582 : x
  2. Step 2: Convert to fraction form
    675.78/931.50 = 582/x
  3. Step 3: Cross multiply
    675.78x = 931.50 × 582
  4. Step 4: Simplify right side
    675.78x = 542,133
  5. Step 5: Solve for x
    x = 542,133/675.78
  6. Step 6: Final answer
    x = 802.23

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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.