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Finding the Fourth Proportional to 1,159.92, 1,598.76 and 923.46

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Solution

The fourth proportional to 1,159.92, 1,598.76 and 923.46 is: 1,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.92 : 1,598.76 = 923.46 : x
  2. Step 2: Convert to fraction form
    1,159.92/1,598.76 = 923.46/x
  3. Step 3: Cross multiply
    1,159.92x = 1,598.76 × 923.46
  4. Step 4: Simplify right side
    1,159.92x = 1,476,390.91
  5. Step 5: Solve for x
    x = 1,476,390.91/1,159.92
  6. Step 6: Final answer
    x = 1,272.84

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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.