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Finding the Fourth Proportional to 1,095.60, 1,642.79 and 749.32

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Solution

The fourth proportional to 1,095.60, 1,642.79 and 749.32 is: 1,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.60 : 1,642.79 = 749.32 : x
  2. Step 2: Convert to fraction form
    1,095.60/1,642.79 = 749.32/x
  3. Step 3: Cross multiply
    1,095.60x = 1,642.79 × 749.32
  4. Step 4: Simplify right side
    1,095.60x = 1,230,975.40
  5. Step 5: Solve for x
    x = 1,230,975.40/1,095.60
  6. Step 6: Final answer
    x = 1,123.57

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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.