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Finding the Fourth Proportional to 953.06, 1,314.60 and 603.14

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Solution

The fourth proportional to 953.06, 1,314.60 and 603.14 is: 831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.06 : 1,314.60 = 603.14 : x
  2. Step 2: Convert to fraction form
    953.06/1,314.60 = 603.14/x
  3. Step 3: Cross multiply
    953.06x = 1,314.60 × 603.14
  4. Step 4: Simplify right side
    953.06x = 792,881.27
  5. Step 5: Solve for x
    x = 792,881.27/953.06
  6. Step 6: Final answer
    x = 831.94

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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.