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Finding the Fourth Proportional to 1,011.64, 1,516.06 and 577.88

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Solution

The fourth proportional to 1,011.64, 1,516.06 and 577.88 is: 866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.64 : 1,516.06 = 577.88 : x
  2. Step 2: Convert to fraction form
    1,011.64/1,516.06 = 577.88/x
  3. Step 3: Cross multiply
    1,011.64x = 1,516.06 × 577.88
  4. Step 4: Simplify right side
    1,011.64x = 876,100.75
  5. Step 5: Solve for x
    x = 876,100.75/1,011.64
  6. Step 6: Final answer
    x = 866.02

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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.