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Finding the Fourth Proportional to 1,735.47, 2,603.21 and 710.19

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Solution

The fourth proportional to 1,735.47, 2,603.21 and 710.19 is: 1,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.47 : 2,603.21 = 710.19 : x
  2. Step 2: Convert to fraction form
    1,735.47/2,603.21 = 710.19/x
  3. Step 3: Cross multiply
    1,735.47x = 2,603.21 × 710.19
  4. Step 4: Simplify right side
    1,735.47x = 1,848,770.16
  5. Step 5: Solve for x
    x = 1,848,770.16/1,735.47
  6. Step 6: Final answer
    x = 1,065.29

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Why These Related Problems?

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