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Finding the Fourth Proportional to 895.35, 1,342.35 and 570.09

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Solution

The fourth proportional to 895.35, 1,342.35 and 570.09 is: 854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.35 : 1,342.35 = 570.09 : x
  2. Step 2: Convert to fraction form
    895.35/1,342.35 = 570.09/x
  3. Step 3: Cross multiply
    895.35x = 1,342.35 × 570.09
  4. Step 4: Simplify right side
    895.35x = 765,260.31
  5. Step 5: Solve for x
    x = 765,260.31/895.35
  6. Step 6: Final answer
    x = 854.71

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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.