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Finding the Fourth Proportional to 977.88, 1,466.64 and 538.92

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Solution

The fourth proportional to 977.88, 1,466.64 and 538.92 is: 808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.88 : 1,466.64 = 538.92 : x
  2. Step 2: Convert to fraction form
    977.88/1,466.64 = 538.92/x
  3. Step 3: Cross multiply
    977.88x = 1,466.64 × 538.92
  4. Step 4: Simplify right side
    977.88x = 790,401.63
  5. Step 5: Solve for x
    x = 790,401.63/977.88
  6. Step 6: Final answer
    x = 808.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.