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Finding the Fourth Proportional to 1,059.94, 1,590.01 and 366.51

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Solution

The fourth proportional to 1,059.94, 1,590.01 and 366.51 is: 549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.94 : 1,590.01 = 366.51 : x
  2. Step 2: Convert to fraction form
    1,059.94/1,590.01 = 366.51/x
  3. Step 3: Cross multiply
    1,059.94x = 1,590.01 × 366.51
  4. Step 4: Simplify right side
    1,059.94x = 582,754.57
  5. Step 5: Solve for x
    x = 582,754.57/1,059.94
  6. Step 6: Final answer
    x = 549.80

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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.