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Finding the Fourth Proportional to 1,047, 1,444.92 and 581.40

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Solution

The fourth proportional to 1,047, 1,444.92 and 581.40 is: 802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047 : 1,444.92 = 581.40 : x
  2. Step 2: Convert to fraction form
    1,047/1,444.92 = 581.40/x
  3. Step 3: Cross multiply
    1,047x = 1,444.92 × 581.40
  4. Step 4: Simplify right side
    1,047x = 840,076.49
  5. Step 5: Solve for x
    x = 840,076.49/1,047
  6. Step 6: Final answer
    x = 802.37

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Why These Related Problems?

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