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Finding the Fourth Proportional to 693.24, 1,038.93 and 328.12

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Solution

The fourth proportional to 693.24, 1,038.93 and 328.12 is: 491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.24 : 1,038.93 = 328.12 : x
  2. Step 2: Convert to fraction form
    693.24/1,038.93 = 328.12/x
  3. Step 3: Cross multiply
    693.24x = 1,038.93 × 328.12
  4. Step 4: Simplify right side
    693.24x = 340,893.71
  5. Step 5: Solve for x
    x = 340,893.71/693.24
  6. Step 6: Final answer
    x = 491.74

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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.