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Finding the Fourth Proportional to 1,146.25, 1,719.69 and 497.08

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Solution

The fourth proportional to 1,146.25, 1,719.69 and 497.08 is: 745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.25 : 1,719.69 = 497.08 : x
  2. Step 2: Convert to fraction form
    1,146.25/1,719.69 = 497.08/x
  3. Step 3: Cross multiply
    1,146.25x = 1,719.69 × 497.08
  4. Step 4: Simplify right side
    1,146.25x = 854,823.51
  5. Step 5: Solve for x
    x = 854,823.51/1,146.25
  6. Step 6: Final answer
    x = 745.76

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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.