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Finding the Fourth Proportional to 1,392.68, 2,088.24 and 467.76

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Solution

The fourth proportional to 1,392.68, 2,088.24 and 467.76 is: 701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.68 : 2,088.24 = 467.76 : x
  2. Step 2: Convert to fraction form
    1,392.68/2,088.24 = 467.76/x
  3. Step 3: Cross multiply
    1,392.68x = 2,088.24 × 467.76
  4. Step 4: Simplify right side
    1,392.68x = 976,795.14
  5. Step 5: Solve for x
    x = 976,795.14/1,392.68
  6. Step 6: Final answer
    x = 701.38

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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.