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Finding the Fourth Proportional to 1,126.49, 1,689.91 and 607.03

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Solution

The fourth proportional to 1,126.49, 1,689.91 and 607.03 is: 910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.49 : 1,689.91 = 607.03 : x
  2. Step 2: Convert to fraction form
    1,126.49/1,689.91 = 607.03/x
  3. Step 3: Cross multiply
    1,126.49x = 1,689.91 × 607.03
  4. Step 4: Simplify right side
    1,126.49x = 1,025,820.32
  5. Step 5: Solve for x
    x = 1,025,820.32/1,126.49
  6. Step 6: Final answer
    x = 910.64

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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.