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Finding the Fourth Proportional to 1,037.04, 1,554.84 and 489.30

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Solution

The fourth proportional to 1,037.04, 1,554.84 and 489.30 is: 733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.04 : 1,554.84 = 489.30 : x
  2. Step 2: Convert to fraction form
    1,037.04/1,554.84 = 489.30/x
  3. Step 3: Cross multiply
    1,037.04x = 1,554.84 × 489.30
  4. Step 4: Simplify right side
    1,037.04x = 760,783.21
  5. Step 5: Solve for x
    x = 760,783.21/1,037.04
  6. Step 6: Final answer
    x = 733.61

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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.