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Finding the Fourth Proportional to 946.83, 1,420.35 and 459.55

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Solution

The fourth proportional to 946.83, 1,420.35 and 459.55 is: 689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.83 : 1,420.35 = 459.55 : x
  2. Step 2: Convert to fraction form
    946.83/1,420.35 = 459.55/x
  3. Step 3: Cross multiply
    946.83x = 1,420.35 × 459.55
  4. Step 4: Simplify right side
    946.83x = 652,721.84
  5. Step 5: Solve for x
    x = 652,721.84/946.83
  6. Step 6: Final answer
    x = 689.38

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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.