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Finding the Fourth Proportional to 977.05, 1,466.25 and 514.81

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Solution

The fourth proportional to 977.05, 1,466.25 and 514.81 is: 772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.05 : 1,466.25 = 514.81 : x
  2. Step 2: Convert to fraction form
    977.05/1,466.25 = 514.81/x
  3. Step 3: Cross multiply
    977.05x = 1,466.25 × 514.81
  4. Step 4: Simplify right side
    977.05x = 754,840.16
  5. Step 5: Solve for x
    x = 754,840.16/977.05
  6. Step 6: Final answer
    x = 772.57

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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.