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Finding the Fourth Proportional to 1,140.49, 1,711.64 and 592.84

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Solution

The fourth proportional to 1,140.49, 1,711.64 and 592.84 is: 889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.49 : 1,711.64 = 592.84 : x
  2. Step 2: Convert to fraction form
    1,140.49/1,711.64 = 592.84/x
  3. Step 3: Cross multiply
    1,140.49x = 1,711.64 × 592.84
  4. Step 4: Simplify right side
    1,140.49x = 1,014,725.69
  5. Step 5: Solve for x
    x = 1,014,725.69/1,140.49
  6. Step 6: Final answer
    x = 889.73

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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.