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Finding the Fourth Proportional to 849.93, 1,275.36 and 459.93

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Solution

The fourth proportional to 849.93, 1,275.36 and 459.93 is: 690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.93 : 1,275.36 = 459.93 : x
  2. Step 2: Convert to fraction form
    849.93/1,275.36 = 459.93/x
  3. Step 3: Cross multiply
    849.93x = 1,275.36 × 459.93
  4. Step 4: Simplify right side
    849.93x = 586,576.32
  5. Step 5: Solve for x
    x = 586,576.32/849.93
  6. Step 6: Final answer
    x = 690.15

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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.