Home / 1,564.04-2,346.36-698.36

Finding the Fourth Proportional to 1,564.04, 2,346.36 and 698.36

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Solution

The fourth proportional to 1,564.04, 2,346.36 and 698.36 is: 1,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.04 : 2,346.36 = 698.36 : x
  2. Step 2: Convert to fraction form
    1,564.04/2,346.36 = 698.36/x
  3. Step 3: Cross multiply
    1,564.04x = 2,346.36 × 698.36
  4. Step 4: Simplify right side
    1,564.04x = 1,638,603.97
  5. Step 5: Solve for x
    x = 1,638,603.97/1,564.04
  6. Step 6: Final answer
    x = 1,047.67

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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.