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Finding the Fourth Proportional to 1,430.41, 1,973.38 and 870.43

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Solution

The fourth proportional to 1,430.41, 1,973.38 and 870.43 is: 1,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.41 : 1,973.38 = 870.43 : x
  2. Step 2: Convert to fraction form
    1,430.41/1,973.38 = 870.43/x
  3. Step 3: Cross multiply
    1,430.41x = 1,973.38 × 870.43
  4. Step 4: Simplify right side
    1,430.41x = 1,717,689.15
  5. Step 5: Solve for x
    x = 1,717,689.15/1,430.41
  6. Step 6: Final answer
    x = 1,200.84

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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.