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Finding the Fourth Proportional to 1,403.34, 2,106.02 and 672.90

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Solution

The fourth proportional to 1,403.34, 2,106.02 and 672.90 is: 1,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.34 : 2,106.02 = 672.90 : x
  2. Step 2: Convert to fraction form
    1,403.34/2,106.02 = 672.90/x
  3. Step 3: Cross multiply
    1,403.34x = 2,106.02 × 672.90
  4. Step 4: Simplify right side
    1,403.34x = 1,417,140.86
  5. Step 5: Solve for x
    x = 1,417,140.86/1,403.34
  6. Step 6: Final answer
    x = 1,009.83

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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.