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Finding the Fourth Proportional to 690.54, 1,029.24 and 651.66

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Solution

The fourth proportional to 690.54, 1,029.24 and 651.66 is: 971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.54 : 1,029.24 = 651.66 : x
  2. Step 2: Convert to fraction form
    690.54/1,029.24 = 651.66/x
  3. Step 3: Cross multiply
    690.54x = 1,029.24 × 651.66
  4. Step 4: Simplify right side
    690.54x = 670,714.54
  5. Step 5: Solve for x
    x = 670,714.54/690.54
  6. Step 6: Final answer
    x = 971.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.