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Finding the Fourth Proportional to 988.06, 1,478.66 and 597.83

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Solution

The fourth proportional to 988.06, 1,478.66 and 597.83 is: 894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.06 : 1,478.66 = 597.83 : x
  2. Step 2: Convert to fraction form
    988.06/1,478.66 = 597.83/x
  3. Step 3: Cross multiply
    988.06x = 1,478.66 × 597.83
  4. Step 4: Simplify right side
    988.06x = 883,979.91
  5. Step 5: Solve for x
    x = 883,979.91/988.06
  6. Step 6: Final answer
    x = 894.66

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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.