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Finding the Fourth Proportional to 854.04, 1,281.83 and 595.65

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Solution

The fourth proportional to 854.04, 1,281.83 and 595.65 is: 894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.04 : 1,281.83 = 595.65 : x
  2. Step 2: Convert to fraction form
    854.04/1,281.83 = 595.65/x
  3. Step 3: Cross multiply
    854.04x = 1,281.83 × 595.65
  4. Step 4: Simplify right side
    854.04x = 763,523.87
  5. Step 5: Solve for x
    x = 763,523.87/854.04
  6. Step 6: Final answer
    x = 894.01

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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.