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Finding the Fourth Proportional to 1,523.07, 2,284.59 and 368.82

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Solution

The fourth proportional to 1,523.07, 2,284.59 and 368.82 is: 553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.07 : 2,284.59 = 368.82 : x
  2. Step 2: Convert to fraction form
    1,523.07/2,284.59 = 368.82/x
  3. Step 3: Cross multiply
    1,523.07x = 2,284.59 × 368.82
  4. Step 4: Simplify right side
    1,523.07x = 842,602.48
  5. Step 5: Solve for x
    x = 842,602.48/1,523.07
  6. Step 6: Final answer
    x = 553.23

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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.