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Finding the Fourth Proportional to 985.41, 1,476.30 and 710.19

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Solution

The fourth proportional to 985.41, 1,476.30 and 710.19 is: 1,063.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.41 : 1,476.30 = 710.19 : x
  2. Step 2: Convert to fraction form
    985.41/1,476.30 = 710.19/x
  3. Step 3: Cross multiply
    985.41x = 1,476.30 × 710.19
  4. Step 4: Simplify right side
    985.41x = 1,048,453.50
  5. Step 5: Solve for x
    x = 1,048,453.50/985.41
  6. Step 6: Final answer
    x = 1,063.98

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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.