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Finding the Fourth Proportional to 989.07, 1,483.63 and 468.57

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Solution

The fourth proportional to 989.07, 1,483.63 and 468.57 is: 702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.07 : 1,483.63 = 468.57 : x
  2. Step 2: Convert to fraction form
    989.07/1,483.63 = 468.57/x
  3. Step 3: Cross multiply
    989.07x = 1,483.63 × 468.57
  4. Step 4: Simplify right side
    989.07x = 695,184.51
  5. Step 5: Solve for x
    x = 695,184.51/989.07
  6. Step 6: Final answer
    x = 702.87

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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.