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Finding the Fourth Proportional to 1,002.33, 1,383.45 and 670.89

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Solution

The fourth proportional to 1,002.33, 1,383.45 and 670.89 is: 925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.33 : 1,383.45 = 670.89 : x
  2. Step 2: Convert to fraction form
    1,002.33/1,383.45 = 670.89/x
  3. Step 3: Cross multiply
    1,002.33x = 1,383.45 × 670.89
  4. Step 4: Simplify right side
    1,002.33x = 928,142.77
  5. Step 5: Solve for x
    x = 928,142.77/1,002.33
  6. Step 6: Final answer
    x = 925.99

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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.