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Finding the Fourth Proportional to 1,097.30, 1,514.40 and 705.26

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Solution

The fourth proportional to 1,097.30, 1,514.40 and 705.26 is: 973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.30 : 1,514.40 = 705.26 : x
  2. Step 2: Convert to fraction form
    1,097.30/1,514.40 = 705.26/x
  3. Step 3: Cross multiply
    1,097.30x = 1,514.40 × 705.26
  4. Step 4: Simplify right side
    1,097.30x = 1,068,045.74
  5. Step 5: Solve for x
    x = 1,068,045.74/1,097.30
  6. Step 6: Final answer
    x = 973.34

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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.