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Finding the Fourth Proportional to 1,056.82, 1,458.48 and 614.56

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Solution

The fourth proportional to 1,056.82, 1,458.48 and 614.56 is: 848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.82 : 1,458.48 = 614.56 : x
  2. Step 2: Convert to fraction form
    1,056.82/1,458.48 = 614.56/x
  3. Step 3: Cross multiply
    1,056.82x = 1,458.48 × 614.56
  4. Step 4: Simplify right side
    1,056.82x = 896,323.47
  5. Step 5: Solve for x
    x = 896,323.47/1,056.82
  6. Step 6: Final answer
    x = 848.13

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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.