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Finding the Fourth Proportional to 749.48, 1,125.54 and 719.24

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Solution

The fourth proportional to 749.48, 1,125.54 and 719.24 is: 1,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.48 : 1,125.54 = 719.24 : x
  2. Step 2: Convert to fraction form
    749.48/1,125.54 = 719.24/x
  3. Step 3: Cross multiply
    749.48x = 1,125.54 × 719.24
  4. Step 4: Simplify right side
    749.48x = 809,533.39
  5. Step 5: Solve for x
    x = 809,533.39/749.48
  6. Step 6: Final answer
    x = 1,080.13

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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.