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Finding the Fourth Proportional to 1,075.22, 1,612.96 and 459.00

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Solution

The fourth proportional to 1,075.22, 1,612.96 and 459.00 is: 688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.22 : 1,612.96 = 459.00 : x
  2. Step 2: Convert to fraction form
    1,075.22/1,612.96 = 459.00/x
  3. Step 3: Cross multiply
    1,075.22x = 1,612.96 × 459.00
  4. Step 4: Simplify right side
    1,075.22x = 740,338.28
  5. Step 5: Solve for x
    x = 740,338.28/1,075.22
  6. Step 6: Final answer
    x = 688.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.