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Finding the Fourth Proportional to 1,360.18, 2,040.64 and 580.22

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Solution

The fourth proportional to 1,360.18, 2,040.64 and 580.22 is: 870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.18 : 2,040.64 = 580.22 : x
  2. Step 2: Convert to fraction form
    1,360.18/2,040.64 = 580.22/x
  3. Step 3: Cross multiply
    1,360.18x = 2,040.64 × 580.22
  4. Step 4: Simplify right side
    1,360.18x = 1,184,020.14
  5. Step 5: Solve for x
    x = 1,184,020.14/1,360.18
  6. Step 6: Final answer
    x = 870.49

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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.