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Finding the Fourth Proportional to 946.53, 1,419.66 and 459.45

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Solution

The fourth proportional to 946.53, 1,419.66 and 459.45 is: 689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.53 : 1,419.66 = 459.45 : x
  2. Step 2: Convert to fraction form
    946.53/1,419.66 = 459.45/x
  3. Step 3: Cross multiply
    946.53x = 1,419.66 × 459.45
  4. Step 4: Simplify right side
    946.53x = 652,262.79
  5. Step 5: Solve for x
    x = 652,262.79/946.53
  6. Step 6: Final answer
    x = 689.11

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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.