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Finding the Fourth Proportional to 1,075.45, 1,612.64 and 344.93

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Solution

The fourth proportional to 1,075.45, 1,612.64 and 344.93 is: 517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.45 : 1,612.64 = 344.93 : x
  2. Step 2: Convert to fraction form
    1,075.45/1,612.64 = 344.93/x
  3. Step 3: Cross multiply
    1,075.45x = 1,612.64 × 344.93
  4. Step 4: Simplify right side
    1,075.45x = 556,247.92
  5. Step 5: Solve for x
    x = 556,247.92/1,075.45
  6. Step 6: Final answer
    x = 517.22

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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.