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Finding the Fourth Proportional to 1,345.29, 2,019.15 and 696.48

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Solution

The fourth proportional to 1,345.29, 2,019.15 and 696.48 is: 1,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.29 : 2,019.15 = 696.48 : x
  2. Step 2: Convert to fraction form
    1,345.29/2,019.15 = 696.48/x
  3. Step 3: Cross multiply
    1,345.29x = 2,019.15 × 696.48
  4. Step 4: Simplify right side
    1,345.29x = 1,406,297.59
  5. Step 5: Solve for x
    x = 1,406,297.59/1,345.29
  6. Step 6: Final answer
    x = 1,045.35

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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.