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Finding the Fourth Proportional to 907.65, 1,362.60 and 702.36

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Solution

The fourth proportional to 907.65, 1,362.60 and 702.36 is: 1,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.65 : 1,362.60 = 702.36 : x
  2. Step 2: Convert to fraction form
    907.65/1,362.60 = 702.36/x
  3. Step 3: Cross multiply
    907.65x = 1,362.60 × 702.36
  4. Step 4: Simplify right side
    907.65x = 957,035.74
  5. Step 5: Solve for x
    x = 957,035.74/907.65
  6. Step 6: Final answer
    x = 1,054.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.