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Finding the Fourth Proportional to 1,133.50, 1,699.45 and 499.96

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Solution

The fourth proportional to 1,133.50, 1,699.45 and 499.96 is: 749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.50 : 1,699.45 = 499.96 : x
  2. Step 2: Convert to fraction form
    1,133.50/1,699.45 = 499.96/x
  3. Step 3: Cross multiply
    1,133.50x = 1,699.45 × 499.96
  4. Step 4: Simplify right side
    1,133.50x = 849,660.01
  5. Step 5: Solve for x
    x = 849,660.01/1,133.50
  6. Step 6: Final answer
    x = 749.59

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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.