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Finding the Fourth Proportional to 1,292.07, 1,783.10 and 732.55

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Solution

The fourth proportional to 1,292.07, 1,783.10 and 732.55 is: 1,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.07 : 1,783.10 = 732.55 : x
  2. Step 2: Convert to fraction form
    1,292.07/1,783.10 = 732.55/x
  3. Step 3: Cross multiply
    1,292.07x = 1,783.10 × 732.55
  4. Step 4: Simplify right side
    1,292.07x = 1,306,209.91
  5. Step 5: Solve for x
    x = 1,306,209.91/1,292.07
  6. Step 6: Final answer
    x = 1,010.94

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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.