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Finding the Fourth Proportional to 971.00, 1,455.51 and 553.92

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Solution

The fourth proportional to 971.00, 1,455.51 and 553.92 is: 830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.00 : 1,455.51 = 553.92 : x
  2. Step 2: Convert to fraction form
    971.00/1,455.51 = 553.92/x
  3. Step 3: Cross multiply
    971.00x = 1,455.51 × 553.92
  4. Step 4: Simplify right side
    971.00x = 806,236.10
  5. Step 5: Solve for x
    x = 806,236.10/971.00
  6. Step 6: Final answer
    x = 830.32

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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.