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Finding the Fourth Proportional to 1,356.17, 2,033.60 and 431.48

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Solution

The fourth proportional to 1,356.17, 2,033.60 and 431.48 is: 647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.17 : 2,033.60 = 431.48 : x
  2. Step 2: Convert to fraction form
    1,356.17/2,033.60 = 431.48/x
  3. Step 3: Cross multiply
    1,356.17x = 2,033.60 × 431.48
  4. Step 4: Simplify right side
    1,356.17x = 877,445.40
  5. Step 5: Solve for x
    x = 877,445.40/1,356.17
  6. Step 6: Final answer
    x = 647.00

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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.