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Finding the Fourth Proportional to 1,075.46, 1,612.32 and 381.74

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Solution

The fourth proportional to 1,075.46, 1,612.32 and 381.74 is: 572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.46 : 1,612.32 = 381.74 : x
  2. Step 2: Convert to fraction form
    1,075.46/1,612.32 = 381.74/x
  3. Step 3: Cross multiply
    1,075.46x = 1,612.32 × 381.74
  4. Step 4: Simplify right side
    1,075.46x = 615,492.22
  5. Step 5: Solve for x
    x = 615,492.22/1,075.46
  6. Step 6: Final answer
    x = 572.31

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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.