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Finding the Fourth Proportional to 1,603.40, 2,405.14 and 564.60

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Solution

The fourth proportional to 1,603.40, 2,405.14 and 564.60 is: 846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.40 : 2,405.14 = 564.60 : x
  2. Step 2: Convert to fraction form
    1,603.40/2,405.14 = 564.60/x
  3. Step 3: Cross multiply
    1,603.40x = 2,405.14 × 564.60
  4. Step 4: Simplify right side
    1,603.40x = 1,357,942.04
  5. Step 5: Solve for x
    x = 1,357,942.04/1,603.40
  6. Step 6: Final answer
    x = 846.91

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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.