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Finding the Fourth Proportional to 1,126.66, 1,554.58 and 654.61

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Solution

The fourth proportional to 1,126.66, 1,554.58 and 654.61 is: 903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.66 : 1,554.58 = 654.61 : x
  2. Step 2: Convert to fraction form
    1,126.66/1,554.58 = 654.61/x
  3. Step 3: Cross multiply
    1,126.66x = 1,554.58 × 654.61
  4. Step 4: Simplify right side
    1,126.66x = 1,017,643.61
  5. Step 5: Solve for x
    x = 1,017,643.61/1,126.66
  6. Step 6: Final answer
    x = 903.24

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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.