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Finding the Fourth Proportional to 1,210.59, 1,815.77 and 344.90

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Solution

The fourth proportional to 1,210.59, 1,815.77 and 344.90 is: 517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.59 : 1,815.77 = 344.90 : x
  2. Step 2: Convert to fraction form
    1,210.59/1,815.77 = 344.90/x
  3. Step 3: Cross multiply
    1,210.59x = 1,815.77 × 344.90
  4. Step 4: Simplify right side
    1,210.59x = 626,264.47
  5. Step 5: Solve for x
    x = 626,264.47/1,210.59
  6. Step 6: Final answer
    x = 517.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.