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Finding the Fourth Proportional to 1,385.70, 1,910.99 and 1,032.50

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Solution

The fourth proportional to 1,385.70, 1,910.99 and 1,032.50 is: 1,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.70 : 1,910.99 = 1,032.50 : x
  2. Step 2: Convert to fraction form
    1,385.70/1,910.99 = 1,032.50/x
  3. Step 3: Cross multiply
    1,385.70x = 1,910.99 × 1,032.50
  4. Step 4: Simplify right side
    1,385.70x = 1,973,090.20
  5. Step 5: Solve for x
    x = 1,973,090.20/1,385.70
  6. Step 6: Final answer
    x = 1,423.89

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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.