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Finding the Fourth Proportional to 992.08, 1,485.96 and 478

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Solution

The fourth proportional to 992.08, 1,485.96 and 478 is: 715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.08 : 1,485.96 = 478 : x
  2. Step 2: Convert to fraction form
    992.08/1,485.96 = 478/x
  3. Step 3: Cross multiply
    992.08x = 1,485.96 × 478
  4. Step 4: Simplify right side
    992.08x = 710,288.88
  5. Step 5: Solve for x
    x = 710,288.88/992.08
  6. Step 6: Final answer
    x = 715.96

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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.