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Finding the Fourth Proportional to 1,089.50, 1,636.32 and 1,045.14

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Solution

The fourth proportional to 1,089.50, 1,636.32 and 1,045.14 is: 1,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.50 : 1,636.32 = 1,045.14 : x
  2. Step 2: Convert to fraction form
    1,089.50/1,636.32 = 1,045.14/x
  3. Step 3: Cross multiply
    1,089.50x = 1,636.32 × 1,045.14
  4. Step 4: Simplify right side
    1,089.50x = 1,710,183.48
  5. Step 5: Solve for x
    x = 1,710,183.48/1,089.50
  6. Step 6: Final answer
    x = 1,569.70

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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.