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Finding the Fourth Proportional to 1,703.76, 2,557.08 and 678.48

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Solution

The fourth proportional to 1,703.76, 2,557.08 and 678.48 is: 1,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.76 : 2,557.08 = 678.48 : x
  2. Step 2: Convert to fraction form
    1,703.76/2,557.08 = 678.48/x
  3. Step 3: Cross multiply
    1,703.76x = 2,557.08 × 678.48
  4. Step 4: Simplify right side
    1,703.76x = 1,734,927.64
  5. Step 5: Solve for x
    x = 1,734,927.64/1,703.76
  6. Step 6: Final answer
    x = 1,018.29

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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.