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Finding the Fourth Proportional to 1,095.59, 1,643.88 and 595.43

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Solution

The fourth proportional to 1,095.59, 1,643.88 and 595.43 is: 893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.59 : 1,643.88 = 595.43 : x
  2. Step 2: Convert to fraction form
    1,095.59/1,643.88 = 595.43/x
  3. Step 3: Cross multiply
    1,095.59x = 1,643.88 × 595.43
  4. Step 4: Simplify right side
    1,095.59x = 978,815.65
  5. Step 5: Solve for x
    x = 978,815.65/1,095.59
  6. Step 6: Final answer
    x = 893.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.