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Finding the Fourth Proportional to 1,506.94, 2,260.55 and 466.95

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Solution

The fourth proportional to 1,506.94, 2,260.55 and 466.95 is: 700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.94 : 2,260.55 = 466.95 : x
  2. Step 2: Convert to fraction form
    1,506.94/2,260.55 = 466.95/x
  3. Step 3: Cross multiply
    1,506.94x = 2,260.55 × 466.95
  4. Step 4: Simplify right side
    1,506.94x = 1,055,563.82
  5. Step 5: Solve for x
    x = 1,055,563.82/1,506.94
  6. Step 6: Final answer
    x = 700.47

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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.