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Finding the Fourth Proportional to 1,752.63, 2,630.81 and 713.31

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Solution

The fourth proportional to 1,752.63, 2,630.81 and 713.31 is: 1,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.63 : 2,630.81 = 713.31 : x
  2. Step 2: Convert to fraction form
    1,752.63/2,630.81 = 713.31/x
  3. Step 3: Cross multiply
    1,752.63x = 2,630.81 × 713.31
  4. Step 4: Simplify right side
    1,752.63x = 1,876,579.51
  5. Step 5: Solve for x
    x = 1,876,579.51/1,752.63
  6. Step 6: Final answer
    x = 1,070.72

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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.