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Finding the Fourth Proportional to 1,678.08, 2,514.72 and 703.04

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Solution

The fourth proportional to 1,678.08, 2,514.72 and 703.04 is: 1,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.08 : 2,514.72 = 703.04 : x
  2. Step 2: Convert to fraction form
    1,678.08/2,514.72 = 703.04/x
  3. Step 3: Cross multiply
    1,678.08x = 2,514.72 × 703.04
  4. Step 4: Simplify right side
    1,678.08x = 1,767,948.75
  5. Step 5: Solve for x
    x = 1,767,948.75/1,678.08
  6. Step 6: Final answer
    x = 1,053.55

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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.