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Finding the Fourth Proportional to 1,324.94, 1,985.79 and 458.24

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Solution

The fourth proportional to 1,324.94, 1,985.79 and 458.24 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.94 : 1,985.79 = 458.24 : x
  2. Step 2: Convert to fraction form
    1,324.94/1,985.79 = 458.24/x
  3. Step 3: Cross multiply
    1,324.94x = 1,985.79 × 458.24
  4. Step 4: Simplify right side
    1,324.94x = 909,968.41
  5. Step 5: Solve for x
    x = 909,968.41/1,324.94
  6. Step 6: Final answer
    x = 686.80

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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.