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Finding the Fourth Proportional to 1,320.08, 1,978.68 and 703.16

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Solution

The fourth proportional to 1,320.08, 1,978.68 and 703.16 is: 1,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.08 : 1,978.68 = 703.16 : x
  2. Step 2: Convert to fraction form
    1,320.08/1,978.68 = 703.16/x
  3. Step 3: Cross multiply
    1,320.08x = 1,978.68 × 703.16
  4. Step 4: Simplify right side
    1,320.08x = 1,391,318.74
  5. Step 5: Solve for x
    x = 1,391,318.74/1,320.08
  6. Step 6: Final answer
    x = 1,053.97

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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.