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Finding the Fourth Proportional to 749.69, 1,124.75 and 384.74

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Solution

The fourth proportional to 749.69, 1,124.75 and 384.74 is: 577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.69 : 1,124.75 = 384.74 : x
  2. Step 2: Convert to fraction form
    749.69/1,124.75 = 384.74/x
  3. Step 3: Cross multiply
    749.69x = 1,124.75 × 384.74
  4. Step 4: Simplify right side
    749.69x = 432,731.65
  5. Step 5: Solve for x
    x = 432,731.65/749.69
  6. Step 6: Final answer
    x = 577.21

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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.