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Finding the Fourth Proportional to 1,075.22, 1,612.76 and 426.01

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Solution

The fourth proportional to 1,075.22, 1,612.76 and 426.01 is: 638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.22 : 1,612.76 = 426.01 : x
  2. Step 2: Convert to fraction form
    1,075.22/1,612.76 = 426.01/x
  3. Step 3: Cross multiply
    1,075.22x = 1,612.76 × 426.01
  4. Step 4: Simplify right side
    1,075.22x = 687,043.82
  5. Step 5: Solve for x
    x = 687,043.82/1,075.22
  6. Step 6: Final answer
    x = 638.98

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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.