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Finding the Fourth Proportional to 1,256.16, 1,881.78 and 706.68

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Solution

The fourth proportional to 1,256.16, 1,881.78 and 706.68 is: 1,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.16 : 1,881.78 = 706.68 : x
  2. Step 2: Convert to fraction form
    1,256.16/1,881.78 = 706.68/x
  3. Step 3: Cross multiply
    1,256.16x = 1,881.78 × 706.68
  4. Step 4: Simplify right side
    1,256.16x = 1,329,816.29
  5. Step 5: Solve for x
    x = 1,329,816.29/1,256.16
  6. Step 6: Final answer
    x = 1,058.64

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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.