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Finding the Fourth Proportional to 1,316.07, 1,814.67 and 983.93

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Solution

The fourth proportional to 1,316.07, 1,814.67 and 983.93 is: 1,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.07 : 1,814.67 = 983.93 : x
  2. Step 2: Convert to fraction form
    1,316.07/1,814.67 = 983.93/x
  3. Step 3: Cross multiply
    1,316.07x = 1,814.67 × 983.93
  4. Step 4: Simplify right side
    1,316.07x = 1,785,508.25
  5. Step 5: Solve for x
    x = 1,785,508.25/1,316.07
  6. Step 6: Final answer
    x = 1,356.70

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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.