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Finding the Fourth Proportional to 1,560.88, 2,341.39 and 465.25

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Solution

The fourth proportional to 1,560.88, 2,341.39 and 465.25 is: 697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.88 : 2,341.39 = 465.25 : x
  2. Step 2: Convert to fraction form
    1,560.88/2,341.39 = 465.25/x
  3. Step 3: Cross multiply
    1,560.88x = 2,341.39 × 465.25
  4. Step 4: Simplify right side
    1,560.88x = 1,089,331.70
  5. Step 5: Solve for x
    x = 1,089,331.70/1,560.88
  6. Step 6: Final answer
    x = 697.90

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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.