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Finding the Fourth Proportional to 1,307.86, 1,804.62 and 810.68

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Solution

The fourth proportional to 1,307.86, 1,804.62 and 810.68 is: 1,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.86 : 1,804.62 = 810.68 : x
  2. Step 2: Convert to fraction form
    1,307.86/1,804.62 = 810.68/x
  3. Step 3: Cross multiply
    1,307.86x = 1,804.62 × 810.68
  4. Step 4: Simplify right side
    1,307.86x = 1,462,969.34
  5. Step 5: Solve for x
    x = 1,462,969.34/1,307.86
  6. Step 6: Final answer
    x = 1,118.60

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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.