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Finding the Fourth Proportional to 1,011.31, 1,516.91 and 352.98

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Solution

The fourth proportional to 1,011.31, 1,516.91 and 352.98 is: 529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.31 : 1,516.91 = 352.98 : x
  2. Step 2: Convert to fraction form
    1,011.31/1,516.91 = 352.98/x
  3. Step 3: Cross multiply
    1,011.31x = 1,516.91 × 352.98
  4. Step 4: Simplify right side
    1,011.31x = 535,441.96
  5. Step 5: Solve for x
    x = 535,441.96/1,011.31
  6. Step 6: Final answer
    x = 529.45

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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.