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Finding the Fourth Proportional to 1,164.32, 1,746.57 and 298.64

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Solution

The fourth proportional to 1,164.32, 1,746.57 and 298.64 is: 447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.32 : 1,746.57 = 298.64 : x
  2. Step 2: Convert to fraction form
    1,164.32/1,746.57 = 298.64/x
  3. Step 3: Cross multiply
    1,164.32x = 1,746.57 × 298.64
  4. Step 4: Simplify right side
    1,164.32x = 521,595.66
  5. Step 5: Solve for x
    x = 521,595.66/1,164.32
  6. Step 6: Final answer
    x = 447.98

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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.