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Finding the Fourth Proportional to 1,037.84, 1,554.06 and 1,007.06

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Solution

The fourth proportional to 1,037.84, 1,554.06 and 1,007.06 is: 1,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.84 : 1,554.06 = 1,007.06 : x
  2. Step 2: Convert to fraction form
    1,037.84/1,554.06 = 1,007.06/x
  3. Step 3: Cross multiply
    1,037.84x = 1,554.06 × 1,007.06
  4. Step 4: Simplify right side
    1,037.84x = 1,565,031.66
  5. Step 5: Solve for x
    x = 1,565,031.66/1,037.84
  6. Step 6: Final answer
    x = 1,507.97

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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.