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Finding the Fourth Proportional to 693.10, 1,038.91 and 345.75

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Solution

The fourth proportional to 693.10, 1,038.91 and 345.75 is: 518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.10 : 1,038.91 = 345.75 : x
  2. Step 2: Convert to fraction form
    693.10/1,038.91 = 345.75/x
  3. Step 3: Cross multiply
    693.10x = 1,038.91 × 345.75
  4. Step 4: Simplify right side
    693.10x = 359,206.32
  5. Step 5: Solve for x
    x = 359,206.32/693.10
  6. Step 6: Final answer
    x = 518.26

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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.