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Finding the Fourth Proportional to 1,047.69, 1,445.79 and 581.94

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Solution

The fourth proportional to 1,047.69, 1,445.79 and 581.94 is: 803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.69 : 1,445.79 = 581.94 : x
  2. Step 2: Convert to fraction form
    1,047.69/1,445.79 = 581.94/x
  3. Step 3: Cross multiply
    1,047.69x = 1,445.79 × 581.94
  4. Step 4: Simplify right side
    1,047.69x = 841,363.03
  5. Step 5: Solve for x
    x = 841,363.03/1,047.69
  6. Step 6: Final answer
    x = 803.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.