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Finding the Fourth Proportional to 985.04, 1,476.26 and 753.08

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Solution

The fourth proportional to 985.04, 1,476.26 and 753.08 is: 1,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.04 : 1,476.26 = 753.08 : x
  2. Step 2: Convert to fraction form
    985.04/1,476.26 = 753.08/x
  3. Step 3: Cross multiply
    985.04x = 1,476.26 × 753.08
  4. Step 4: Simplify right side
    985.04x = 1,111,741.88
  5. Step 5: Solve for x
    x = 1,111,741.88/985.04
  6. Step 6: Final answer
    x = 1,128.63

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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.