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Finding the Fourth Proportional to 1,146.51, 1,582.14 and 649.12

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Solution

The fourth proportional to 1,146.51, 1,582.14 and 649.12 is: 895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.51 : 1,582.14 = 649.12 : x
  2. Step 2: Convert to fraction form
    1,146.51/1,582.14 = 649.12/x
  3. Step 3: Cross multiply
    1,146.51x = 1,582.14 × 649.12
  4. Step 4: Simplify right side
    1,146.51x = 1,026,998.72
  5. Step 5: Solve for x
    x = 1,026,998.72/1,146.51
  6. Step 6: Final answer
    x = 895.76

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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.