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Finding the Fourth Proportional to 1,678.16, 2,517.08 and 704

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Solution

The fourth proportional to 1,678.16, 2,517.08 and 704 is: 1,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.16 : 2,517.08 = 704 : x
  2. Step 2: Convert to fraction form
    1,678.16/2,517.08 = 704/x
  3. Step 3: Cross multiply
    1,678.16x = 2,517.08 × 704
  4. Step 4: Simplify right side
    1,678.16x = 1,772,024.32
  5. Step 5: Solve for x
    x = 1,772,024.32/1,678.16
  6. Step 6: Final answer
    x = 1,055.93

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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.