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Finding the Fourth Proportional to 1,536.38, 2,305.34 and 703.35

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Solution

The fourth proportional to 1,536.38, 2,305.34 and 703.35 is: 1,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.38 : 2,305.34 = 703.35 : x
  2. Step 2: Convert to fraction form
    1,536.38/2,305.34 = 703.35/x
  3. Step 3: Cross multiply
    1,536.38x = 2,305.34 × 703.35
  4. Step 4: Simplify right side
    1,536.38x = 1,621,457.37
  5. Step 5: Solve for x
    x = 1,621,457.37/1,536.38
  6. Step 6: Final answer
    x = 1,055.38

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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.