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Finding the Fourth Proportional to 1,036.34, 1,554.48 and 305.94

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Solution

The fourth proportional to 1,036.34, 1,554.48 and 305.94 is: 458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.34 : 1,554.48 = 305.94 : x
  2. Step 2: Convert to fraction form
    1,036.34/1,554.48 = 305.94/x
  3. Step 3: Cross multiply
    1,036.34x = 1,554.48 × 305.94
  4. Step 4: Simplify right side
    1,036.34x = 475,577.61
  5. Step 5: Solve for x
    x = 475,577.61/1,036.34
  6. Step 6: Final answer
    x = 458.90

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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.