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Finding the Fourth Proportional to 1,283.78, 1,925.68 and 706.34

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Solution

The fourth proportional to 1,283.78, 1,925.68 and 706.34 is: 1,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.78 : 1,925.68 = 706.34 : x
  2. Step 2: Convert to fraction form
    1,283.78/1,925.68 = 706.34/x
  3. Step 3: Cross multiply
    1,283.78x = 1,925.68 × 706.34
  4. Step 4: Simplify right side
    1,283.78x = 1,360,184.81
  5. Step 5: Solve for x
    x = 1,360,184.81/1,283.78
  6. Step 6: Final answer
    x = 1,059.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.