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Finding the Fourth Proportional to 592.47, 889.72 and 561.69

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Solution

The fourth proportional to 592.47, 889.72 and 561.69 is: 843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.47 : 889.72 = 561.69 : x
  2. Step 2: Convert to fraction form
    592.47/889.72 = 561.69/x
  3. Step 3: Cross multiply
    592.47x = 889.72 × 561.69
  4. Step 4: Simplify right side
    592.47x = 499,746.83
  5. Step 5: Solve for x
    x = 499,746.83/592.47
  6. Step 6: Final answer
    x = 843.50

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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.