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Finding the Fourth Proportional to 1,056.60, 1,458.37 and 614.44

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Solution

The fourth proportional to 1,056.60, 1,458.37 and 614.44 is: 848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.60 : 1,458.37 = 614.44 : x
  2. Step 2: Convert to fraction form
    1,056.60/1,458.37 = 614.44/x
  3. Step 3: Cross multiply
    1,056.60x = 1,458.37 × 614.44
  4. Step 4: Simplify right side
    1,056.60x = 896,080.86
  5. Step 5: Solve for x
    x = 896,080.86/1,056.60
  6. Step 6: Final answer
    x = 848.08

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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.