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Finding the Fourth Proportional to 1,006.99, 1,499.86 and 962.01

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Solution

The fourth proportional to 1,006.99, 1,499.86 and 962.01 is: 1,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.99 : 1,499.86 = 962.01 : x
  2. Step 2: Convert to fraction form
    1,006.99/1,499.86 = 962.01/x
  3. Step 3: Cross multiply
    1,006.99x = 1,499.86 × 962.01
  4. Step 4: Simplify right side
    1,006.99x = 1,442,880.32
  5. Step 5: Solve for x
    x = 1,442,880.32/1,006.99
  6. Step 6: Final answer
    x = 1,432.86

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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.