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Finding the Fourth Proportional to 749.36, 1,124.06 and 407.36

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Solution

The fourth proportional to 749.36, 1,124.06 and 407.36 is: 611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.36 : 1,124.06 = 407.36 : x
  2. Step 2: Convert to fraction form
    749.36/1,124.06 = 407.36/x
  3. Step 3: Cross multiply
    749.36x = 1,124.06 × 407.36
  4. Step 4: Simplify right side
    749.36x = 457,897.08
  5. Step 5: Solve for x
    x = 457,897.08/749.36
  6. Step 6: Final answer
    x = 611.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.