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Finding the Fourth Proportional to 1,036.06, 1,552.14 and 897.55

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Solution

The fourth proportional to 1,036.06, 1,552.14 and 897.55 is: 1,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.06 : 1,552.14 = 897.55 : x
  2. Step 2: Convert to fraction form
    1,036.06/1,552.14 = 897.55/x
  3. Step 3: Cross multiply
    1,036.06x = 1,552.14 × 897.55
  4. Step 4: Simplify right side
    1,036.06x = 1,393,119.38
  5. Step 5: Solve for x
    x = 1,393,119.38/1,036.06
  6. Step 6: Final answer
    x = 1,344.64

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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.