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Finding the Fourth Proportional to 703.84, 1,057.28 and 430.09

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Solution

The fourth proportional to 703.84, 1,057.28 and 430.09 is: 646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.84 : 1,057.28 = 430.09 : x
  2. Step 2: Convert to fraction form
    703.84/1,057.28 = 430.09/x
  3. Step 3: Cross multiply
    703.84x = 1,057.28 × 430.09
  4. Step 4: Simplify right side
    703.84x = 454,726.05
  5. Step 5: Solve for x
    x = 454,726.05/703.84
  6. Step 6: Final answer
    x = 646.07

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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.