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Finding the Fourth Proportional to 691.96, 1,038.08 and 307.48

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Solution

The fourth proportional to 691.96, 1,038.08 and 307.48 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.96 : 1,038.08 = 307.48 : x
  2. Step 2: Convert to fraction form
    691.96/1,038.08 = 307.48/x
  3. Step 3: Cross multiply
    691.96x = 1,038.08 × 307.48
  4. Step 4: Simplify right side
    691.96x = 319,188.84
  5. Step 5: Solve for x
    x = 319,188.84/691.96
  6. Step 6: Final answer
    x = 461.28

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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.