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Finding the Fourth Proportional to 944.94, 1,417.37 and 456.51

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Solution

The fourth proportional to 944.94, 1,417.37 and 456.51 is: 684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.94 : 1,417.37 = 456.51 : x
  2. Step 2: Convert to fraction form
    944.94/1,417.37 = 456.51/x
  3. Step 3: Cross multiply
    944.94x = 1,417.37 × 456.51
  4. Step 4: Simplify right side
    944.94x = 647,041.30
  5. Step 5: Solve for x
    x = 647,041.30/944.94
  6. Step 6: Final answer
    x = 684.74

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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.