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Finding the Fourth Proportional to 1,653.04, 2,479.56 and 420.45

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Solution

The fourth proportional to 1,653.04, 2,479.56 and 420.45 is: 630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.04 : 2,479.56 = 420.45 : x
  2. Step 2: Convert to fraction form
    1,653.04/2,479.56 = 420.45/x
  3. Step 3: Cross multiply
    1,653.04x = 2,479.56 × 420.45
  4. Step 4: Simplify right side
    1,653.04x = 1,042,531.00
  5. Step 5: Solve for x
    x = 1,042,531.00/1,653.04
  6. Step 6: Final answer
    x = 630.68

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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.