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Finding the Fourth Proportional to 887.02, 1,223.91 and 592.65

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Solution

The fourth proportional to 887.02, 1,223.91 and 592.65 is: 817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.02 : 1,223.91 = 592.65 : x
  2. Step 2: Convert to fraction form
    887.02/1,223.91 = 592.65/x
  3. Step 3: Cross multiply
    887.02x = 1,223.91 × 592.65
  4. Step 4: Simplify right side
    887.02x = 725,350.26
  5. Step 5: Solve for x
    x = 725,350.26/887.02
  6. Step 6: Final answer
    x = 817.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.