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Finding the Fourth Proportional to 1,126.00, 1,688.84 and 304.34

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Solution

The fourth proportional to 1,126.00, 1,688.84 and 304.34 is: 456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.00 : 1,688.84 = 304.34 : x
  2. Step 2: Convert to fraction form
    1,126.00/1,688.84 = 304.34/x
  3. Step 3: Cross multiply
    1,126.00x = 1,688.84 × 304.34
  4. Step 4: Simplify right side
    1,126.00x = 513,980.04
  5. Step 5: Solve for x
    x = 513,980.04/1,126.00
  6. Step 6: Final answer
    x = 456.47

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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.