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Finding the Fourth Proportional to 1,348.69, 1,860.69 and 788.98

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Solution

The fourth proportional to 1,348.69, 1,860.69 and 788.98 is: 1,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.69 : 1,860.69 = 788.98 : x
  2. Step 2: Convert to fraction form
    1,348.69/1,860.69 = 788.98/x
  3. Step 3: Cross multiply
    1,348.69x = 1,860.69 × 788.98
  4. Step 4: Simplify right side
    1,348.69x = 1,468,043.25
  5. Step 5: Solve for x
    x = 1,468,043.25/1,348.69
  6. Step 6: Final answer
    x = 1,088.50

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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.