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Finding the Fourth Proportional to 1,495.16, 2,063.29 and 831.98

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Solution

The fourth proportional to 1,495.16, 2,063.29 and 831.98 is: 1,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.16 : 2,063.29 = 831.98 : x
  2. Step 2: Convert to fraction form
    1,495.16/2,063.29 = 831.98/x
  3. Step 3: Cross multiply
    1,495.16x = 2,063.29 × 831.98
  4. Step 4: Simplify right side
    1,495.16x = 1,716,616.01
  5. Step 5: Solve for x
    x = 1,716,616.01/1,495.16
  6. Step 6: Final answer
    x = 1,148.12

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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.