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Finding the Fourth Proportional to 1,036.17, 1,554.25 and 386.75

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Solution

The fourth proportional to 1,036.17, 1,554.25 and 386.75 is: 580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.17 : 1,554.25 = 386.75 : x
  2. Step 2: Convert to fraction form
    1,036.17/1,554.25 = 386.75/x
  3. Step 3: Cross multiply
    1,036.17x = 1,554.25 × 386.75
  4. Step 4: Simplify right side
    1,036.17x = 601,106.19
  5. Step 5: Solve for x
    x = 601,106.19/1,036.17
  6. Step 6: Final answer
    x = 580.12

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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.