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Finding the Fourth Proportional to 1,005.61, 1,509.13 and 450.45

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Solution

The fourth proportional to 1,005.61, 1,509.13 and 450.45 is: 676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.61 : 1,509.13 = 450.45 : x
  2. Step 2: Convert to fraction form
    1,005.61/1,509.13 = 450.45/x
  3. Step 3: Cross multiply
    1,005.61x = 1,509.13 × 450.45
  4. Step 4: Simplify right side
    1,005.61x = 679,786.48
  5. Step 5: Solve for x
    x = 679,786.48/1,005.61
  6. Step 6: Final answer
    x = 676.00

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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.