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Finding the Fourth Proportional to 1,153.04, 1,721.14 and 1,000.04

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Solution

The fourth proportional to 1,153.04, 1,721.14 and 1,000.04 is: 1,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.04 : 1,721.14 = 1,000.04 : x
  2. Step 2: Convert to fraction form
    1,153.04/1,721.14 = 1,000.04/x
  3. Step 3: Cross multiply
    1,153.04x = 1,721.14 × 1,000.04
  4. Step 4: Simplify right side
    1,153.04x = 1,721,208.85
  5. Step 5: Solve for x
    x = 1,721,208.85/1,153.04
  6. Step 6: Final answer
    x = 1,492.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.