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Finding the Fourth Proportional to 660.65, 989.93 and 557.45

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Solution

The fourth proportional to 660.65, 989.93 and 557.45 is: 835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.65 : 989.93 = 557.45 : x
  2. Step 2: Convert to fraction form
    660.65/989.93 = 557.45/x
  3. Step 3: Cross multiply
    660.65x = 989.93 × 557.45
  4. Step 4: Simplify right side
    660.65x = 551,828.74
  5. Step 5: Solve for x
    x = 551,828.74/660.65
  6. Step 6: Final answer
    x = 835.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.