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Finding the Fourth Proportional to 1,018.50, 1,405.65 and 604.50

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Solution

The fourth proportional to 1,018.50, 1,405.65 and 604.50 is: 834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.50 : 1,405.65 = 604.50 : x
  2. Step 2: Convert to fraction form
    1,018.50/1,405.65 = 604.50/x
  3. Step 3: Cross multiply
    1,018.50x = 1,405.65 × 604.50
  4. Step 4: Simplify right side
    1,018.50x = 849,715.43
  5. Step 5: Solve for x
    x = 849,715.43/1,018.50
  6. Step 6: Final answer
    x = 834.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.