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Finding the Fourth Proportional to 1,292.84, 1,784.48 and 962.36

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Solution

The fourth proportional to 1,292.84, 1,784.48 and 962.36 is: 1,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.84 : 1,784.48 = 962.36 : x
  2. Step 2: Convert to fraction form
    1,292.84/1,784.48 = 962.36/x
  3. Step 3: Cross multiply
    1,292.84x = 1,784.48 × 962.36
  4. Step 4: Simplify right side
    1,292.84x = 1,717,312.17
  5. Step 5: Solve for x
    x = 1,717,312.17/1,292.84
  6. Step 6: Final answer
    x = 1,328.33

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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.