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Finding the Fourth Proportional to 1,560.59, 2,340.96 and 465.04

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Solution

The fourth proportional to 1,560.59, 2,340.96 and 465.04 is: 697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.59 : 2,340.96 = 465.04 : x
  2. Step 2: Convert to fraction form
    1,560.59/2,340.96 = 465.04/x
  3. Step 3: Cross multiply
    1,560.59x = 2,340.96 × 465.04
  4. Step 4: Simplify right side
    1,560.59x = 1,088,632.44
  5. Step 5: Solve for x
    x = 1,088,632.44/1,560.59
  6. Step 6: Final answer
    x = 697.58

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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.