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Finding the Fourth Proportional to 698.57, 964.29 and 599.93

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Solution

The fourth proportional to 698.57, 964.29 and 599.93 is: 828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.57 : 964.29 = 599.93 : x
  2. Step 2: Convert to fraction form
    698.57/964.29 = 599.93/x
  3. Step 3: Cross multiply
    698.57x = 964.29 × 599.93
  4. Step 4: Simplify right side
    698.57x = 578,506.50
  5. Step 5: Solve for x
    x = 578,506.50/698.57
  6. Step 6: Final answer
    x = 828.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.