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Finding the Fourth Proportional to 691.84, 954.98 and 459.04

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Solution

The fourth proportional to 691.84, 954.98 and 459.04 is: 633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.84 : 954.98 = 459.04 : x
  2. Step 2: Convert to fraction form
    691.84/954.98 = 459.04/x
  3. Step 3: Cross multiply
    691.84x = 954.98 × 459.04
  4. Step 4: Simplify right side
    691.84x = 438,374.02
  5. Step 5: Solve for x
    x = 438,374.02/691.84
  6. Step 6: Final answer
    x = 633.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.