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Finding the Fourth Proportional to 975.66, 1,464.30 and 514.77

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Solution

The fourth proportional to 975.66, 1,464.30 and 514.77 is: 772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.66 : 1,464.30 = 514.77 : x
  2. Step 2: Convert to fraction form
    975.66/1,464.30 = 514.77/x
  3. Step 3: Cross multiply
    975.66x = 1,464.30 × 514.77
  4. Step 4: Simplify right side
    975.66x = 753,777.71
  5. Step 5: Solve for x
    x = 753,777.71/975.66
  6. Step 6: Final answer
    x = 772.58

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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.