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Finding the Fourth Proportional to 1,430.41, 1,973.44 and 870.67

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Solution

The fourth proportional to 1,430.41, 1,973.44 and 870.67 is: 1,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.41 : 1,973.44 = 870.67 : x
  2. Step 2: Convert to fraction form
    1,430.41/1,973.44 = 870.67/x
  3. Step 3: Cross multiply
    1,430.41x = 1,973.44 × 870.67
  4. Step 4: Simplify right side
    1,430.41x = 1,718,215.00
  5. Step 5: Solve for x
    x = 1,718,215.00/1,430.41
  6. Step 6: Final answer
    x = 1,201.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.