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Finding the Fourth Proportional to 1,036.28, 1,554.65 and 420.02

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Solution

The fourth proportional to 1,036.28, 1,554.65 and 420.02 is: 630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.28 : 1,554.65 = 420.02 : x
  2. Step 2: Convert to fraction form
    1,036.28/1,554.65 = 420.02/x
  3. Step 3: Cross multiply
    1,036.28x = 1,554.65 × 420.02
  4. Step 4: Simplify right side
    1,036.28x = 652,984.09
  5. Step 5: Solve for x
    x = 652,984.09/1,036.28
  6. Step 6: Final answer
    x = 630.12

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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.