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Finding the Fourth Proportional to 1,535.42, 2,302.32 and 610.94

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Solution

The fourth proportional to 1,535.42, 2,302.32 and 610.94 is: 916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.42 : 2,302.32 = 610.94 : x
  2. Step 2: Convert to fraction form
    1,535.42/2,302.32 = 610.94/x
  3. Step 3: Cross multiply
    1,535.42x = 2,302.32 × 610.94
  4. Step 4: Simplify right side
    1,535.42x = 1,406,579.38
  5. Step 5: Solve for x
    x = 1,406,579.38/1,535.42
  6. Step 6: Final answer
    x = 916.09

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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.