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Finding the Fourth Proportional to 514.04, 767.99 and 453.83

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Solution

The fourth proportional to 514.04, 767.99 and 453.83 is: 678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.04 : 767.99 = 453.83 : x
  2. Step 2: Convert to fraction form
    514.04/767.99 = 453.83/x
  3. Step 3: Cross multiply
    514.04x = 767.99 × 453.83
  4. Step 4: Simplify right side
    514.04x = 348,534.20
  5. Step 5: Solve for x
    x = 348,534.20/514.04
  6. Step 6: Final answer
    x = 678.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.