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Finding the Fourth Proportional to 1,075.96, 1,612.90 and 345.07

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Solution

The fourth proportional to 1,075.96, 1,612.90 and 345.07 is: 517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.96 : 1,612.90 = 345.07 : x
  2. Step 2: Convert to fraction form
    1,075.96/1,612.90 = 345.07/x
  3. Step 3: Cross multiply
    1,075.96x = 1,612.90 × 345.07
  4. Step 4: Simplify right side
    1,075.96x = 556,563.40
  5. Step 5: Solve for x
    x = 556,563.40/1,075.96
  6. Step 6: Final answer
    x = 517.27

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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.