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Finding the Fourth Proportional to 1,007.64, 1,509.44 and 459.07

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Solution

The fourth proportional to 1,007.64, 1,509.44 and 459.07 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.64 : 1,509.44 = 459.07 : x
  2. Step 2: Convert to fraction form
    1,007.64/1,509.44 = 459.07/x
  3. Step 3: Cross multiply
    1,007.64x = 1,509.44 × 459.07
  4. Step 4: Simplify right side
    1,007.64x = 692,932.55
  5. Step 5: Solve for x
    x = 692,932.55/1,007.64
  6. Step 6: Final answer
    x = 687.68

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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.