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Finding the Fourth Proportional to 1,075.46, 1,612.11 and 498.74

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Solution

The fourth proportional to 1,075.46, 1,612.11 and 498.74 is: 747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.46 : 1,612.11 = 498.74 : x
  2. Step 2: Convert to fraction form
    1,075.46/1,612.11 = 498.74/x
  3. Step 3: Cross multiply
    1,075.46x = 1,612.11 × 498.74
  4. Step 4: Simplify right side
    1,075.46x = 804,023.74
  5. Step 5: Solve for x
    x = 804,023.74/1,075.46
  6. Step 6: Final answer
    x = 747.61

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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.