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Finding the Fourth Proportional to 985.80, 1,478.88 and 409.08

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Solution

The fourth proportional to 985.80, 1,478.88 and 409.08 is: 613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.80 : 1,478.88 = 409.08 : x
  2. Step 2: Convert to fraction form
    985.80/1,478.88 = 409.08/x
  3. Step 3: Cross multiply
    985.80x = 1,478.88 × 409.08
  4. Step 4: Simplify right side
    985.80x = 604,980.23
  5. Step 5: Solve for x
    x = 604,980.23/985.80
  6. Step 6: Final answer
    x = 613.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.