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Finding the Fourth Proportional to 1,513.07, 2,088.14 and 849.94

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Solution

The fourth proportional to 1,513.07, 2,088.14 and 849.94 is: 1,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.07 : 2,088.14 = 849.94 : x
  2. Step 2: Convert to fraction form
    1,513.07/2,088.14 = 849.94/x
  3. Step 3: Cross multiply
    1,513.07x = 2,088.14 × 849.94
  4. Step 4: Simplify right side
    1,513.07x = 1,774,793.71
  5. Step 5: Solve for x
    x = 1,774,793.71/1,513.07
  6. Step 6: Final answer
    x = 1,172.98

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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.