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Finding the Fourth Proportional to 971.61, 1,455.99 and 483.99

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Solution

The fourth proportional to 971.61, 1,455.99 and 483.99 is: 725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.61 : 1,455.99 = 483.99 : x
  2. Step 2: Convert to fraction form
    971.61/1,455.99 = 483.99/x
  3. Step 3: Cross multiply
    971.61x = 1,455.99 × 483.99
  4. Step 4: Simplify right side
    971.61x = 704,684.60
  5. Step 5: Solve for x
    x = 704,684.60/971.61
  6. Step 6: Final answer
    x = 725.28

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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.