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Finding the Fourth Proportional to 1,365.18, 1,883.62 and 776.04

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Solution

The fourth proportional to 1,365.18, 1,883.62 and 776.04 is: 1,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.18 : 1,883.62 = 776.04 : x
  2. Step 2: Convert to fraction form
    1,365.18/1,883.62 = 776.04/x
  3. Step 3: Cross multiply
    1,365.18x = 1,883.62 × 776.04
  4. Step 4: Simplify right side
    1,365.18x = 1,461,751.17
  5. Step 5: Solve for x
    x = 1,461,751.17/1,365.18
  6. Step 6: Final answer
    x = 1,070.74

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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.