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Finding the Fourth Proportional to 1,430.78, 1,973.31 and 964.94

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Solution

The fourth proportional to 1,430.78, 1,973.31 and 964.94 is: 1,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.78 : 1,973.31 = 964.94 : x
  2. Step 2: Convert to fraction form
    1,430.78/1,973.31 = 964.94/x
  3. Step 3: Cross multiply
    1,430.78x = 1,973.31 × 964.94
  4. Step 4: Simplify right side
    1,430.78x = 1,904,125.75
  5. Step 5: Solve for x
    x = 1,904,125.75/1,430.78
  6. Step 6: Final answer
    x = 1,330.83

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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.