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Finding the Fourth Proportional to 964.03, 1,440.19 and 614.58

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Solution

The fourth proportional to 964.03, 1,440.19 and 614.58 is: 918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.03 : 1,440.19 = 614.58 : x
  2. Step 2: Convert to fraction form
    964.03/1,440.19 = 614.58/x
  3. Step 3: Cross multiply
    964.03x = 1,440.19 × 614.58
  4. Step 4: Simplify right side
    964.03x = 885,108.90
  5. Step 5: Solve for x
    x = 885,108.90/964.03
  6. Step 6: Final answer
    x = 918.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.