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Finding the Fourth Proportional to 1,560.47, 2,340.90 and 586.64

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Solution

The fourth proportional to 1,560.47, 2,340.90 and 586.64 is: 880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.47 : 2,340.90 = 586.64 : x
  2. Step 2: Convert to fraction form
    1,560.47/2,340.90 = 586.64/x
  3. Step 3: Cross multiply
    1,560.47x = 2,340.90 × 586.64
  4. Step 4: Simplify right side
    1,560.47x = 1,373,271.43
  5. Step 5: Solve for x
    x = 1,373,271.43/1,560.47
  6. Step 6: Final answer
    x = 880.04

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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.