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Finding the Fourth Proportional to 1,209.70, 1,813.93 and 592.48

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Solution

The fourth proportional to 1,209.70, 1,813.93 and 592.48 is: 888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.70 : 1,813.93 = 592.48 : x
  2. Step 2: Convert to fraction form
    1,209.70/1,813.93 = 592.48/x
  3. Step 3: Cross multiply
    1,209.70x = 1,813.93 × 592.48
  4. Step 4: Simplify right side
    1,209.70x = 1,074,717.25
  5. Step 5: Solve for x
    x = 1,074,717.25/1,209.70
  6. Step 6: Final answer
    x = 888.42

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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.