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Finding the Fourth Proportional to 946.61, 1,419.12 and 477.77

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Solution

The fourth proportional to 946.61, 1,419.12 and 477.77 is: 716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.61 : 1,419.12 = 477.77 : x
  2. Step 2: Convert to fraction form
    946.61/1,419.12 = 477.77/x
  3. Step 3: Cross multiply
    946.61x = 1,419.12 × 477.77
  4. Step 4: Simplify right side
    946.61x = 678,017.84
  5. Step 5: Solve for x
    x = 678,017.84/946.61
  6. Step 6: Final answer
    x = 716.26

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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.