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Finding the Fourth Proportional to 971.51, 1,340.69 and 573.12

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Solution

The fourth proportional to 971.51, 1,340.69 and 573.12 is: 790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.51 : 1,340.69 = 573.12 : x
  2. Step 2: Convert to fraction form
    971.51/1,340.69 = 573.12/x
  3. Step 3: Cross multiply
    971.51x = 1,340.69 × 573.12
  4. Step 4: Simplify right side
    971.51x = 768,373.39
  5. Step 5: Solve for x
    x = 768,373.39/971.51
  6. Step 6: Final answer
    x = 790.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.