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Finding the Fourth Proportional to 1,345.83, 1,857.15 and 786.45

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Solution

The fourth proportional to 1,345.83, 1,857.15 and 786.45 is: 1,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.83 : 1,857.15 = 786.45 : x
  2. Step 2: Convert to fraction form
    1,345.83/1,857.15 = 786.45/x
  3. Step 3: Cross multiply
    1,345.83x = 1,857.15 × 786.45
  4. Step 4: Simplify right side
    1,345.83x = 1,460,555.62
  5. Step 5: Solve for x
    x = 1,460,555.62/1,345.83
  6. Step 6: Final answer
    x = 1,085.25

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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.