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Finding the Fourth Proportional to 987.93, 1,364.74 and 899.26

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Solution

The fourth proportional to 987.93, 1,364.74 and 899.26 is: 1,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.93 : 1,364.74 = 899.26 : x
  2. Step 2: Convert to fraction form
    987.93/1,364.74 = 899.26/x
  3. Step 3: Cross multiply
    987.93x = 1,364.74 × 899.26
  4. Step 4: Simplify right side
    987.93x = 1,227,250.43
  5. Step 5: Solve for x
    x = 1,227,250.43/987.93
  6. Step 6: Final answer
    x = 1,242.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.