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Finding the Fourth Proportional to 989.71, 1,483.94 and 469.40

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Solution

The fourth proportional to 989.71, 1,483.94 and 469.40 is: 703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.71 : 1,483.94 = 469.40 : x
  2. Step 2: Convert to fraction form
    989.71/1,483.94 = 469.40/x
  3. Step 3: Cross multiply
    989.71x = 1,483.94 × 469.40
  4. Step 4: Simplify right side
    989.71x = 696,555.19
  5. Step 5: Solve for x
    x = 696,555.19/989.71
  6. Step 6: Final answer
    x = 703.80

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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.