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Finding the Fourth Proportional to 1,506.59, 2,260.61 and 533.15

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Solution

The fourth proportional to 1,506.59, 2,260.61 and 533.15 is: 799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.59 : 2,260.61 = 533.15 : x
  2. Step 2: Convert to fraction form
    1,506.59/2,260.61 = 533.15/x
  3. Step 3: Cross multiply
    1,506.59x = 2,260.61 × 533.15
  4. Step 4: Simplify right side
    1,506.59x = 1,205,244.22
  5. Step 5: Solve for x
    x = 1,205,244.22/1,506.59
  6. Step 6: Final answer
    x = 799.98

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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.