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Finding the Fourth Proportional to 1,153.50, 1,730.49 and 469.50

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Solution

The fourth proportional to 1,153.50, 1,730.49 and 469.50 is: 704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.50 : 1,730.49 = 469.50 : x
  2. Step 2: Convert to fraction form
    1,153.50/1,730.49 = 469.50/x
  3. Step 3: Cross multiply
    1,153.50x = 1,730.49 × 469.50
  4. Step 4: Simplify right side
    1,153.50x = 812,465.06
  5. Step 5: Solve for x
    x = 812,465.06/1,153.50
  6. Step 6: Final answer
    x = 704.35

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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.