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Finding the Fourth Proportional to 1,164.42, 1,746.66 and 298.73

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Solution

The fourth proportional to 1,164.42, 1,746.66 and 298.73 is: 448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.42 : 1,746.66 = 298.73 : x
  2. Step 2: Convert to fraction form
    1,164.42/1,746.66 = 298.73/x
  3. Step 3: Cross multiply
    1,164.42x = 1,746.66 × 298.73
  4. Step 4: Simplify right side
    1,164.42x = 521,779.74
  5. Step 5: Solve for x
    x = 521,779.74/1,164.42
  6. Step 6: Final answer
    x = 448.10

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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.