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Finding the Fourth Proportional to 1,506.74, 2,258.51 and 581.90

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Solution

The fourth proportional to 1,506.74, 2,258.51 and 581.90 is: 872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.74 : 2,258.51 = 581.90 : x
  2. Step 2: Convert to fraction form
    1,506.74/2,258.51 = 581.90/x
  3. Step 3: Cross multiply
    1,506.74x = 2,258.51 × 581.90
  4. Step 4: Simplify right side
    1,506.74x = 1,314,212.77
  5. Step 5: Solve for x
    x = 1,314,212.77/1,506.74
  6. Step 6: Final answer
    x = 872.23

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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.