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Finding the Fourth Proportional to 750.02, 1,124.85 and 384.62

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Solution

The fourth proportional to 750.02, 1,124.85 and 384.62 is: 576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.02 : 1,124.85 = 384.62 : x
  2. Step 2: Convert to fraction form
    750.02/1,124.85 = 384.62/x
  3. Step 3: Cross multiply
    750.02x = 1,124.85 × 384.62
  4. Step 4: Simplify right side
    750.02x = 432,642.62
  5. Step 5: Solve for x
    x = 432,642.62/750.02
  6. Step 6: Final answer
    x = 576.84

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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.