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Finding the Fourth Proportional to 1,047.40, 1,563.56 and 971.44

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Solution

The fourth proportional to 1,047.40, 1,563.56 and 971.44 is: 1,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.40 : 1,563.56 = 971.44 : x
  2. Step 2: Convert to fraction form
    1,047.40/1,563.56 = 971.44/x
  3. Step 3: Cross multiply
    1,047.40x = 1,563.56 × 971.44
  4. Step 4: Simplify right side
    1,047.40x = 1,518,904.73
  5. Step 5: Solve for x
    x = 1,518,904.73/1,047.40
  6. Step 6: Final answer
    x = 1,450.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.