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Finding the Fourth Proportional to 1,097.88, 1,515.07 and 705.43

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Solution

The fourth proportional to 1,097.88, 1,515.07 and 705.43 is: 973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.88 : 1,515.07 = 705.43 : x
  2. Step 2: Convert to fraction form
    1,097.88/1,515.07 = 705.43/x
  3. Step 3: Cross multiply
    1,097.88x = 1,515.07 × 705.43
  4. Step 4: Simplify right side
    1,097.88x = 1,068,775.83
  5. Step 5: Solve for x
    x = 1,068,775.83/1,097.88
  6. Step 6: Final answer
    x = 973.49

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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.