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Finding the Fourth Proportional to 1,356.04, 2,032.35 and 738.46

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Solution

The fourth proportional to 1,356.04, 2,032.35 and 738.46 is: 1,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.04 : 2,032.35 = 738.46 : x
  2. Step 2: Convert to fraction form
    1,356.04/2,032.35 = 738.46/x
  3. Step 3: Cross multiply
    1,356.04x = 2,032.35 × 738.46
  4. Step 4: Simplify right side
    1,356.04x = 1,500,809.18
  5. Step 5: Solve for x
    x = 1,500,809.18/1,356.04
  6. Step 6: Final answer
    x = 1,106.76

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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.