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Finding the Fourth Proportional to 988.06, 1,362.91 and 589.45

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Solution

The fourth proportional to 988.06, 1,362.91 and 589.45 is: 813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.06 : 1,362.91 = 589.45 : x
  2. Step 2: Convert to fraction form
    988.06/1,362.91 = 589.45/x
  3. Step 3: Cross multiply
    988.06x = 1,362.91 × 589.45
  4. Step 4: Simplify right side
    988.06x = 803,367.30
  5. Step 5: Solve for x
    x = 803,367.30/988.06
  6. Step 6: Final answer
    x = 813.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.