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Finding the Fourth Proportional to 1,164.42, 1,746.63 and 342.90

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Solution

The fourth proportional to 1,164.42, 1,746.63 and 342.90 is: 514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.42 : 1,746.63 = 342.90 : x
  2. Step 2: Convert to fraction form
    1,164.42/1,746.63 = 342.90/x
  3. Step 3: Cross multiply
    1,164.42x = 1,746.63 × 342.90
  4. Step 4: Simplify right side
    1,164.42x = 598,919.43
  5. Step 5: Solve for x
    x = 598,919.43/1,164.42
  6. Step 6: Final answer
    x = 514.35

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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.