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Finding the Fourth Proportional to 982.76, 1,465.24 and 957.50

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Solution

The fourth proportional to 982.76, 1,465.24 and 957.50 is: 1,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.76 : 1,465.24 = 957.50 : x
  2. Step 2: Convert to fraction form
    982.76/1,465.24 = 957.50/x
  3. Step 3: Cross multiply
    982.76x = 1,465.24 × 957.50
  4. Step 4: Simplify right side
    982.76x = 1,402,967.30
  5. Step 5: Solve for x
    x = 1,402,967.30/982.76
  6. Step 6: Final answer
    x = 1,427.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.