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Finding the Fourth Proportional to 1,124.02, 1,686.08 and 302.37

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Solution

The fourth proportional to 1,124.02, 1,686.08 and 302.37 is: 453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.02 : 1,686.08 = 302.37 : x
  2. Step 2: Convert to fraction form
    1,124.02/1,686.08 = 302.37/x
  3. Step 3: Cross multiply
    1,124.02x = 1,686.08 × 302.37
  4. Step 4: Simplify right side
    1,124.02x = 509,820.01
  5. Step 5: Solve for x
    x = 509,820.01/1,124.02
  6. Step 6: Final answer
    x = 453.57

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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.