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Finding the Fourth Proportional to 674.10, 1,004.07 and 642.50

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Solution

The fourth proportional to 674.10, 1,004.07 and 642.50 is: 957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.10 : 1,004.07 = 642.50 : x
  2. Step 2: Convert to fraction form
    674.10/1,004.07 = 642.50/x
  3. Step 3: Cross multiply
    674.10x = 1,004.07 × 642.50
  4. Step 4: Simplify right side
    674.10x = 645,111.76
  5. Step 5: Solve for x
    x = 645,111.76/674.10
  6. Step 6: Final answer
    x = 957.00

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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.