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Finding the Fourth Proportional to 1,482.03, 2,223.05 and 616.14

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Solution

The fourth proportional to 1,482.03, 2,223.05 and 616.14 is: 924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.03 : 2,223.05 = 616.14 : x
  2. Step 2: Convert to fraction form
    1,482.03/2,223.05 = 616.14/x
  3. Step 3: Cross multiply
    1,482.03x = 2,223.05 × 616.14
  4. Step 4: Simplify right side
    1,482.03x = 1,369,706.95
  5. Step 5: Solve for x
    x = 1,369,706.95/1,482.03
  6. Step 6: Final answer
    x = 924.21

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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.