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Finding the Fourth Proportional to 1,397.06, 1,927.89 and 776.06

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Solution

The fourth proportional to 1,397.06, 1,927.89 and 776.06 is: 1,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.06 : 1,927.89 = 776.06 : x
  2. Step 2: Convert to fraction form
    1,397.06/1,927.89 = 776.06/x
  3. Step 3: Cross multiply
    1,397.06x = 1,927.89 × 776.06
  4. Step 4: Simplify right side
    1,397.06x = 1,496,158.31
  5. Step 5: Solve for x
    x = 1,496,158.31/1,397.06
  6. Step 6: Final answer
    x = 1,070.93

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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.