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Finding the Fourth Proportional to 1,603.67, 2,405.43 and 782.01

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Solution

The fourth proportional to 1,603.67, 2,405.43 and 782.01 is: 1,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.67 : 2,405.43 = 782.01 : x
  2. Step 2: Convert to fraction form
    1,603.67/2,405.43 = 782.01/x
  3. Step 3: Cross multiply
    1,603.67x = 2,405.43 × 782.01
  4. Step 4: Simplify right side
    1,603.67x = 1,881,070.31
  5. Step 5: Solve for x
    x = 1,881,070.31/1,603.67
  6. Step 6: Final answer
    x = 1,172.98

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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.