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Finding the Fourth Proportional to 1,056.74, 1,458.29 and 614.62

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Solution

The fourth proportional to 1,056.74, 1,458.29 and 614.62 is: 848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.74 : 1,458.29 = 614.62 : x
  2. Step 2: Convert to fraction form
    1,056.74/1,458.29 = 614.62/x
  3. Step 3: Cross multiply
    1,056.74x = 1,458.29 × 614.62
  4. Step 4: Simplify right side
    1,056.74x = 896,283.84
  5. Step 5: Solve for x
    x = 896,283.84/1,056.74
  6. Step 6: Final answer
    x = 848.16

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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.