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Finding the Fourth Proportional to 1,435.42, 2,153.66 and 741.63

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Solution

The fourth proportional to 1,435.42, 2,153.66 and 741.63 is: 1,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.42 : 2,153.66 = 741.63 : x
  2. Step 2: Convert to fraction form
    1,435.42/2,153.66 = 741.63/x
  3. Step 3: Cross multiply
    1,435.42x = 2,153.66 × 741.63
  4. Step 4: Simplify right side
    1,435.42x = 1,597,223.43
  5. Step 5: Solve for x
    x = 1,597,223.43/1,435.42
  6. Step 6: Final answer
    x = 1,112.72

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1.5x scale

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.