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Finding the Fourth Proportional to 1,133.42, 1,699.98 and 516.46

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Solution

The fourth proportional to 1,133.42, 1,699.98 and 516.46 is: 774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.42 : 1,699.98 = 516.46 : x
  2. Step 2: Convert to fraction form
    1,133.42/1,699.98 = 516.46/x
  3. Step 3: Cross multiply
    1,133.42x = 1,699.98 × 516.46
  4. Step 4: Simplify right side
    1,133.42x = 877,971.67
  5. Step 5: Solve for x
    x = 877,971.67/1,133.42
  6. Step 6: Final answer
    x = 774.62

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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.