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Finding the Fourth Proportional to 914.92, 1,261.80 and 583.47

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Solution

The fourth proportional to 914.92, 1,261.80 and 583.47 is: 804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.92 : 1,261.80 = 583.47 : x
  2. Step 2: Convert to fraction form
    914.92/1,261.80 = 583.47/x
  3. Step 3: Cross multiply
    914.92x = 1,261.80 × 583.47
  4. Step 4: Simplify right side
    914.92x = 736,222.45
  5. Step 5: Solve for x
    x = 736,222.45/914.92
  6. Step 6: Final answer
    x = 804.69

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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.