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Finding the Fourth Proportional to 987.96, 1,483.38 and 971.58

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Solution

The fourth proportional to 987.96, 1,483.38 and 971.58 is: 1,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.96 : 1,483.38 = 971.58 : x
  2. Step 2: Convert to fraction form
    987.96/1,483.38 = 971.58/x
  3. Step 3: Cross multiply
    987.96x = 1,483.38 × 971.58
  4. Step 4: Simplify right side
    987.96x = 1,441,222.34
  5. Step 5: Solve for x
    x = 1,441,222.34/987.96
  6. Step 6: Final answer
    x = 1,458.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.