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Finding the Fourth Proportional to 975.86, 1,464.14 and 428.20

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Solution

The fourth proportional to 975.86, 1,464.14 and 428.20 is: 642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.86 : 1,464.14 = 428.20 : x
  2. Step 2: Convert to fraction form
    975.86/1,464.14 = 428.20/x
  3. Step 3: Cross multiply
    975.86x = 1,464.14 × 428.20
  4. Step 4: Simplify right side
    975.86x = 626,942.16
  5. Step 5: Solve for x
    x = 626,942.16/975.86
  6. Step 6: Final answer
    x = 642.45

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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.