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Finding the Fourth Proportional to 1,172.78, 1,618.43 and 707.03

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Solution

The fourth proportional to 1,172.78, 1,618.43 and 707.03 is: 975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.78 : 1,618.43 = 707.03 : x
  2. Step 2: Convert to fraction form
    1,172.78/1,618.43 = 707.03/x
  3. Step 3: Cross multiply
    1,172.78x = 1,618.43 × 707.03
  4. Step 4: Simplify right side
    1,172.78x = 1,144,279.07
  5. Step 5: Solve for x
    x = 1,144,279.07/1,172.78
  6. Step 6: Final answer
    x = 975.70

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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.