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Finding the Fourth Proportional to 1,023.93, 1,533.74 and 476.55

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Solution

The fourth proportional to 1,023.93, 1,533.74 and 476.55 is: 713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.93 : 1,533.74 = 476.55 : x
  2. Step 2: Convert to fraction form
    1,023.93/1,533.74 = 476.55/x
  3. Step 3: Cross multiply
    1,023.93x = 1,533.74 × 476.55
  4. Step 4: Simplify right side
    1,023.93x = 730,901.41
  5. Step 5: Solve for x
    x = 730,901.41/1,023.93
  6. Step 6: Final answer
    x = 713.82

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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.