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Finding the Fourth Proportional to 1,106.37, 1,648.91 and 1,060.20

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Solution

The fourth proportional to 1,106.37, 1,648.91 and 1,060.20 is: 1,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.37 : 1,648.91 = 1,060.20 : x
  2. Step 2: Convert to fraction form
    1,106.37/1,648.91 = 1,060.20/x
  3. Step 3: Cross multiply
    1,106.37x = 1,648.91 × 1,060.20
  4. Step 4: Simplify right side
    1,106.37x = 1,748,177.03
  5. Step 5: Solve for x
    x = 1,748,177.03/1,106.37
  6. Step 6: Final answer
    x = 1,580.10

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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.