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Finding the Fourth Proportional to 1,124.04, 1,685.91 and 302.28

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Solution

The fourth proportional to 1,124.04, 1,685.91 and 302.28 is: 453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.04 : 1,685.91 = 302.28 : x
  2. Step 2: Convert to fraction form
    1,124.04/1,685.91 = 302.28/x
  3. Step 3: Cross multiply
    1,124.04x = 1,685.91 × 302.28
  4. Step 4: Simplify right side
    1,124.04x = 509,616.87
  5. Step 5: Solve for x
    x = 509,616.87/1,124.04
  6. Step 6: Final answer
    x = 453.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.