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Finding the Fourth Proportional to 691.84, 1,038.24 and 307.12

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Solution

The fourth proportional to 691.84, 1,038.24 and 307.12 is: 460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.84 : 1,038.24 = 307.12 : x
  2. Step 2: Convert to fraction form
    691.84/1,038.24 = 307.12/x
  3. Step 3: Cross multiply
    691.84x = 1,038.24 × 307.12
  4. Step 4: Simplify right side
    691.84x = 318,864.27
  5. Step 5: Solve for x
    x = 318,864.27/691.84
  6. Step 6: Final answer
    x = 460.89

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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.