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Finding the Fourth Proportional to 1,430.12, 1,973.40 and 832.70

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Solution

The fourth proportional to 1,430.12, 1,973.40 and 832.70 is: 1,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.12 : 1,973.40 = 832.70 : x
  2. Step 2: Convert to fraction form
    1,430.12/1,973.40 = 832.70/x
  3. Step 3: Cross multiply
    1,430.12x = 1,973.40 × 832.70
  4. Step 4: Simplify right side
    1,430.12x = 1,643,250.18
  5. Step 5: Solve for x
    x = 1,643,250.18/1,430.12
  6. Step 6: Final answer
    x = 1,149.03

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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.