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Finding the Fourth Proportional to 1,004, 1,506.76 and 698

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Solution

The fourth proportional to 1,004, 1,506.76 and 698 is: 1,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004 : 1,506.76 = 698 : x
  2. Step 2: Convert to fraction form
    1,004/1,506.76 = 698/x
  3. Step 3: Cross multiply
    1,004x = 1,506.76 × 698
  4. Step 4: Simplify right side
    1,004x = 1,051,718.48
  5. Step 5: Solve for x
    x = 1,051,718.48/1,004
  6. Step 6: Final answer
    x = 1,047.53

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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.