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Finding the Fourth Proportional to 887.07, 1,223.55 and 584.07

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Solution

The fourth proportional to 887.07, 1,223.55 and 584.07 is: 805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.07 : 1,223.55 = 584.07 : x
  2. Step 2: Convert to fraction form
    887.07/1,223.55 = 584.07/x
  3. Step 3: Cross multiply
    887.07x = 1,223.55 × 584.07
  4. Step 4: Simplify right side
    887.07x = 714,638.85
  5. Step 5: Solve for x
    x = 714,638.85/887.07
  6. Step 6: Final answer
    x = 805.62

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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.