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Finding the Fourth Proportional to 988.51, 1,483.19 and 468.88

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Solution

The fourth proportional to 988.51, 1,483.19 and 468.88 is: 703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.51 : 1,483.19 = 468.88 : x
  2. Step 2: Convert to fraction form
    988.51/1,483.19 = 468.88/x
  3. Step 3: Cross multiply
    988.51x = 1,483.19 × 468.88
  4. Step 4: Simplify right side
    988.51x = 695,438.13
  5. Step 5: Solve for x
    x = 695,438.13/988.51
  6. Step 6: Final answer
    x = 703.52

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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.