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Finding the Fourth Proportional to 999.60, 1,497.07 and 964.99

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Solution

The fourth proportional to 999.60, 1,497.07 and 964.99 is: 1,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.60 : 1,497.07 = 964.99 : x
  2. Step 2: Convert to fraction form
    999.60/1,497.07 = 964.99/x
  3. Step 3: Cross multiply
    999.60x = 1,497.07 × 964.99
  4. Step 4: Simplify right side
    999.60x = 1,444,657.58
  5. Step 5: Solve for x
    x = 1,444,657.58/999.60
  6. Step 6: Final answer
    x = 1,445.24

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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.