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Finding the Fourth Proportional to 1,046.82, 1,444.32 and 673.83

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Solution

The fourth proportional to 1,046.82, 1,444.32 and 673.83 is: 929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.82 : 1,444.32 = 673.83 : x
  2. Step 2: Convert to fraction form
    1,046.82/1,444.32 = 673.83/x
  3. Step 3: Cross multiply
    1,046.82x = 1,444.32 × 673.83
  4. Step 4: Simplify right side
    1,046.82x = 973,226.15
  5. Step 5: Solve for x
    x = 973,226.15/1,046.82
  6. Step 6: Final answer
    x = 929.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.