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Finding the Fourth Proportional to 1,076.48, 1,613.60 and 588.49

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Solution

The fourth proportional to 1,076.48, 1,613.60 and 588.49 is: 882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.48 : 1,613.60 = 588.49 : x
  2. Step 2: Convert to fraction form
    1,076.48/1,613.60 = 588.49/x
  3. Step 3: Cross multiply
    1,076.48x = 1,613.60 × 588.49
  4. Step 4: Simplify right side
    1,076.48x = 949,587.46
  5. Step 5: Solve for x
    x = 949,587.46/1,076.48
  6. Step 6: Final answer
    x = 882.12

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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.