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Finding the Fourth Proportional to 1,204.99, 1,662.33 and 707.47

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Solution

The fourth proportional to 1,204.99, 1,662.33 and 707.47 is: 975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.99 : 1,662.33 = 707.47 : x
  2. Step 2: Convert to fraction form
    1,204.99/1,662.33 = 707.47/x
  3. Step 3: Cross multiply
    1,204.99x = 1,662.33 × 707.47
  4. Step 4: Simplify right side
    1,204.99x = 1,176,048.61
  5. Step 5: Solve for x
    x = 1,176,048.61/1,204.99
  6. Step 6: Final answer
    x = 975.98

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