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Finding the Fourth Proportional to 1,297.51, 1,945.16 and 566.55

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Solution

The fourth proportional to 1,297.51, 1,945.16 and 566.55 is: 849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.51 : 1,945.16 = 566.55 : x
  2. Step 2: Convert to fraction form
    1,297.51/1,945.16 = 566.55/x
  3. Step 3: Cross multiply
    1,297.51x = 1,945.16 × 566.55
  4. Step 4: Simplify right side
    1,297.51x = 1,102,030.40
  5. Step 5: Solve for x
    x = 1,102,030.40/1,297.51
  6. Step 6: Final answer
    x = 849.34

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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.