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Finding the Fourth Proportional to 702.51, 1,045.62 and 683.07

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Solution

The fourth proportional to 702.51, 1,045.62 and 683.07 is: 1,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.51 : 1,045.62 = 683.07 : x
  2. Step 2: Convert to fraction form
    702.51/1,045.62 = 683.07/x
  3. Step 3: Cross multiply
    702.51x = 1,045.62 × 683.07
  4. Step 4: Simplify right side
    702.51x = 714,231.65
  5. Step 5: Solve for x
    x = 714,231.65/702.51
  6. Step 6: Final answer
    x = 1,016.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.