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Finding the Fourth Proportional to 1,653.34, 2,480 and 420.75

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Solution

The fourth proportional to 1,653.34, 2,480 and 420.75 is: 631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.34 : 2,480 = 420.75 : x
  2. Step 2: Convert to fraction form
    1,653.34/2,480 = 420.75/x
  3. Step 3: Cross multiply
    1,653.34x = 2,480 × 420.75
  4. Step 4: Simplify right side
    1,653.34x = 1,043,460
  5. Step 5: Solve for x
    x = 1,043,460/1,653.34
  6. Step 6: Final answer
    x = 631.12

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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.