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Finding the Fourth Proportional to 1,146.71, 1,582.54 and 649.35

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Solution

The fourth proportional to 1,146.71, 1,582.54 and 649.35 is: 896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.71 : 1,582.54 = 649.35 : x
  2. Step 2: Convert to fraction form
    1,146.71/1,582.54 = 649.35/x
  3. Step 3: Cross multiply
    1,146.71x = 1,582.54 × 649.35
  4. Step 4: Simplify right side
    1,146.71x = 1,027,622.35
  5. Step 5: Solve for x
    x = 1,027,622.35/1,146.71
  6. Step 6: Final answer
    x = 896.15

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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.