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Finding the Fourth Proportional to 1,309.13, 1,807.05 and 917.30

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Solution

The fourth proportional to 1,309.13, 1,807.05 and 917.30 is: 1,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.13 : 1,807.05 = 917.30 : x
  2. Step 2: Convert to fraction form
    1,309.13/1,807.05 = 917.30/x
  3. Step 3: Cross multiply
    1,309.13x = 1,807.05 × 917.30
  4. Step 4: Simplify right side
    1,309.13x = 1,657,597.93
  5. Step 5: Solve for x
    x = 1,657,597.93/1,309.13
  6. Step 6: Final answer
    x = 1,266.19

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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.