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Finding the Fourth Proportional to 977.35, 1,466.02 and 566.22

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Solution

The fourth proportional to 977.35, 1,466.02 and 566.22 is: 849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.35 : 1,466.02 = 566.22 : x
  2. Step 2: Convert to fraction form
    977.35/1,466.02 = 566.22/x
  3. Step 3: Cross multiply
    977.35x = 1,466.02 × 566.22
  4. Step 4: Simplify right side
    977.35x = 830,089.84
  5. Step 5: Solve for x
    x = 830,089.84/977.35
  6. Step 6: Final answer
    x = 849.33

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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.