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Finding the Fourth Proportional to 1,073.94, 1,601.29 and 1,054.50

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Solution

The fourth proportional to 1,073.94, 1,601.29 and 1,054.50 is: 1,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.94 : 1,601.29 = 1,054.50 : x
  2. Step 2: Convert to fraction form
    1,073.94/1,601.29 = 1,054.50/x
  3. Step 3: Cross multiply
    1,073.94x = 1,601.29 × 1,054.50
  4. Step 4: Simplify right side
    1,073.94x = 1,688,560.31
  5. Step 5: Solve for x
    x = 1,688,560.31/1,073.94
  6. Step 6: Final answer
    x = 1,572.30

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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.