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Finding the Fourth Proportional to 1,036.69, 1,554.53 and 420.28

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Solution

The fourth proportional to 1,036.69, 1,554.53 and 420.28 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.69 : 1,554.53 = 420.28 : x
  2. Step 2: Convert to fraction form
    1,036.69/1,554.53 = 420.28/x
  3. Step 3: Cross multiply
    1,036.69x = 1,554.53 × 420.28
  4. Step 4: Simplify right side
    1,036.69x = 653,331.88
  5. Step 5: Solve for x
    x = 653,331.88/1,036.69
  6. Step 6: Final answer
    x = 630.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.