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Finding the Fourth Proportional to 1,506.01, 2,258.12 and 580.80

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Solution

The fourth proportional to 1,506.01, 2,258.12 and 580.80 is: 870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.01 : 2,258.12 = 580.80 : x
  2. Step 2: Convert to fraction form
    1,506.01/2,258.12 = 580.80/x
  3. Step 3: Cross multiply
    1,506.01x = 2,258.12 × 580.80
  4. Step 4: Simplify right side
    1,506.01x = 1,311,513.19
  5. Step 5: Solve for x
    x = 1,311,513.19/1,506.01
  6. Step 6: Final answer
    x = 870.85

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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.