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Finding the Fourth Proportional to 1,083.63, 1,624.55 and 467.25

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Solution

The fourth proportional to 1,083.63, 1,624.55 and 467.25 is: 700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.63 : 1,624.55 = 467.25 : x
  2. Step 2: Convert to fraction form
    1,083.63/1,624.55 = 467.25/x
  3. Step 3: Cross multiply
    1,083.63x = 1,624.55 × 467.25
  4. Step 4: Simplify right side
    1,083.63x = 759,068.65
  5. Step 5: Solve for x
    x = 759,068.65/1,083.63
  6. Step 6: Final answer
    x = 700.49

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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.