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Finding the Fourth Proportional to 1,235.77, 1,854.12 and 456.01

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Solution

The fourth proportional to 1,235.77, 1,854.12 and 456.01 is: 684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.77 : 1,854.12 = 456.01 : x
  2. Step 2: Convert to fraction form
    1,235.77/1,854.12 = 456.01/x
  3. Step 3: Cross multiply
    1,235.77x = 1,854.12 × 456.01
  4. Step 4: Simplify right side
    1,235.77x = 845,497.26
  5. Step 5: Solve for x
    x = 845,497.26/1,235.77
  6. Step 6: Final answer
    x = 684.19

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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.