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Finding the Fourth Proportional to 1,308.58, 1,807.77 and 1,030.66

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Solution

The fourth proportional to 1,308.58, 1,807.77 and 1,030.66 is: 1,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.58 : 1,807.77 = 1,030.66 : x
  2. Step 2: Convert to fraction form
    1,308.58/1,807.77 = 1,030.66/x
  3. Step 3: Cross multiply
    1,308.58x = 1,807.77 × 1,030.66
  4. Step 4: Simplify right side
    1,308.58x = 1,863,196.23
  5. Step 5: Solve for x
    x = 1,863,196.23/1,308.58
  6. Step 6: Final answer
    x = 1,423.83

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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.