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Finding the Fourth Proportional to 1,295.10, 1,784.10 and 962.94

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Solution

The fourth proportional to 1,295.10, 1,784.10 and 962.94 is: 1,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.10 : 1,784.10 = 962.94 : x
  2. Step 2: Convert to fraction form
    1,295.10/1,784.10 = 962.94/x
  3. Step 3: Cross multiply
    1,295.10x = 1,784.10 × 962.94
  4. Step 4: Simplify right side
    1,295.10x = 1,717,981.25
  5. Step 5: Solve for x
    x = 1,717,981.25/1,295.10
  6. Step 6: Final answer
    x = 1,326.52

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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.