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Finding the Fourth Proportional to 1,005.67, 1,509.05 and 428.50

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Solution

The fourth proportional to 1,005.67, 1,509.05 and 428.50 is: 642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.67 : 1,509.05 = 428.50 : x
  2. Step 2: Convert to fraction form
    1,005.67/1,509.05 = 428.50/x
  3. Step 3: Cross multiply
    1,005.67x = 1,509.05 × 428.50
  4. Step 4: Simplify right side
    1,005.67x = 646,627.93
  5. Step 5: Solve for x
    x = 646,627.93/1,005.67
  6. Step 6: Final answer
    x = 642.98

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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.