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Finding the Fourth Proportional to 1,038.51, 1,426.59 and 985.86

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Solution

The fourth proportional to 1,038.51, 1,426.59 and 985.86 is: 1,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.51 : 1,426.59 = 985.86 : x
  2. Step 2: Convert to fraction form
    1,038.51/1,426.59 = 985.86/x
  3. Step 3: Cross multiply
    1,038.51x = 1,426.59 × 985.86
  4. Step 4: Simplify right side
    1,038.51x = 1,406,418.02
  5. Step 5: Solve for x
    x = 1,406,418.02/1,038.51
  6. Step 6: Final answer
    x = 1,354.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.