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Finding the Fourth Proportional to 1,283.69, 1,925.21 and 359.01

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Solution

The fourth proportional to 1,283.69, 1,925.21 and 359.01 is: 538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.69 : 1,925.21 = 359.01 : x
  2. Step 2: Convert to fraction form
    1,283.69/1,925.21 = 359.01/x
  3. Step 3: Cross multiply
    1,283.69x = 1,925.21 × 359.01
  4. Step 4: Simplify right side
    1,283.69x = 691,160.02
  5. Step 5: Solve for x
    x = 691,160.02/1,283.69
  6. Step 6: Final answer
    x = 538.42

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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.