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Finding the Fourth Proportional to 1,124.99, 1,553.47 and 706.07

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Solution

The fourth proportional to 1,124.99, 1,553.47 and 706.07 is: 974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.99 : 1,553.47 = 706.07 : x
  2. Step 2: Convert to fraction form
    1,124.99/1,553.47 = 706.07/x
  3. Step 3: Cross multiply
    1,124.99x = 1,553.47 × 706.07
  4. Step 4: Simplify right side
    1,124.99x = 1,096,851.94
  5. Step 5: Solve for x
    x = 1,096,851.94/1,124.99
  6. Step 6: Final answer
    x = 974.98

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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.