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Finding the Fourth Proportional to 749.64, 1,124.76 and 384.66

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Solution

The fourth proportional to 749.64, 1,124.76 and 384.66 is: 577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.64 : 1,124.76 = 384.66 : x
  2. Step 2: Convert to fraction form
    749.64/1,124.76 = 384.66/x
  3. Step 3: Cross multiply
    749.64x = 1,124.76 × 384.66
  4. Step 4: Simplify right side
    749.64x = 432,650.18
  5. Step 5: Solve for x
    x = 432,650.18/749.64
  6. Step 6: Final answer
    x = 577.14

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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.