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Finding the Fourth Proportional to 969.88, 1,454.86 and 507.40

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Solution

The fourth proportional to 969.88, 1,454.86 and 507.40 is: 761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.88 : 1,454.86 = 507.40 : x
  2. Step 2: Convert to fraction form
    969.88/1,454.86 = 507.40/x
  3. Step 3: Cross multiply
    969.88x = 1,454.86 × 507.40
  4. Step 4: Simplify right side
    969.88x = 738,195.96
  5. Step 5: Solve for x
    x = 738,195.96/969.88
  6. Step 6: Final answer
    x = 761.12

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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.