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Finding the Fourth Proportional to 1,235.42, 1,854.31 and 456.18

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Solution

The fourth proportional to 1,235.42, 1,854.31 and 456.18 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.42 : 1,854.31 = 456.18 : x
  2. Step 2: Convert to fraction form
    1,235.42/1,854.31 = 456.18/x
  3. Step 3: Cross multiply
    1,235.42x = 1,854.31 × 456.18
  4. Step 4: Simplify right side
    1,235.42x = 845,889.86
  5. Step 5: Solve for x
    x = 845,889.86/1,235.42
  6. Step 6: Final answer
    x = 684.70

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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.