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Finding the Fourth Proportional to 789.03, 1,088.73 and 457.40

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Solution

The fourth proportional to 789.03, 1,088.73 and 457.40 is: 631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.03 : 1,088.73 = 457.40 : x
  2. Step 2: Convert to fraction form
    789.03/1,088.73 = 457.40/x
  3. Step 3: Cross multiply
    789.03x = 1,088.73 × 457.40
  4. Step 4: Simplify right side
    789.03x = 497,979.66
  5. Step 5: Solve for x
    x = 497,979.66/789.03
  6. Step 6: Final answer
    x = 631.13

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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.