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Finding the Fourth Proportional to 1,308.05, 1,804.88 and 784.10

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Solution

The fourth proportional to 1,308.05, 1,804.88 and 784.10 is: 1,081.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.05 : 1,804.88 = 784.10 : x
  2. Step 2: Convert to fraction form
    1,308.05/1,804.88 = 784.10/x
  3. Step 3: Cross multiply
    1,308.05x = 1,804.88 × 784.10
  4. Step 4: Simplify right side
    1,308.05x = 1,415,199.34
  5. Step 5: Solve for x
    x = 1,415,199.34/1,308.05
  6. Step 6: Final answer
    x = 1,081.91

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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.