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Finding the Fourth Proportional to 1,153.64, 1,729.76 and 460.42

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Solution

The fourth proportional to 1,153.64, 1,729.76 and 460.42 is: 690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.64 : 1,729.76 = 460.42 : x
  2. Step 2: Convert to fraction form
    1,153.64/1,729.76 = 460.42/x
  3. Step 3: Cross multiply
    1,153.64x = 1,729.76 × 460.42
  4. Step 4: Simplify right side
    1,153.64x = 796,412.93
  5. Step 5: Solve for x
    x = 796,412.93/1,153.64
  6. Step 6: Final answer
    x = 690.35

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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.