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Finding the Fourth Proportional to 1,029.17, 1,421.06 and 675.33

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Solution

The fourth proportional to 1,029.17, 1,421.06 and 675.33 is: 932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.17 : 1,421.06 = 675.33 : x
  2. Step 2: Convert to fraction form
    1,029.17/1,421.06 = 675.33/x
  3. Step 3: Cross multiply
    1,029.17x = 1,421.06 × 675.33
  4. Step 4: Simplify right side
    1,029.17x = 959,681.07
  5. Step 5: Solve for x
    x = 959,681.07/1,029.17
  6. Step 6: Final answer
    x = 932.49

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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.