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Finding the Fourth Proportional to 1,036.05, 1,554.34 and 597.57

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Solution

The fourth proportional to 1,036.05, 1,554.34 and 597.57 is: 896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.05 : 1,554.34 = 597.57 : x
  2. Step 2: Convert to fraction form
    1,036.05/1,554.34 = 597.57/x
  3. Step 3: Cross multiply
    1,036.05x = 1,554.34 × 597.57
  4. Step 4: Simplify right side
    1,036.05x = 928,826.95
  5. Step 5: Solve for x
    x = 928,826.95/1,036.05
  6. Step 6: Final answer
    x = 896.51

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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.