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Finding the Fourth Proportional to 1,056.06, 1,457.39 and 584.01

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Solution

The fourth proportional to 1,056.06, 1,457.39 and 584.01 is: 805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.06 : 1,457.39 = 584.01 : x
  2. Step 2: Convert to fraction form
    1,056.06/1,457.39 = 584.01/x
  3. Step 3: Cross multiply
    1,056.06x = 1,457.39 × 584.01
  4. Step 4: Simplify right side
    1,056.06x = 851,131.79
  5. Step 5: Solve for x
    x = 851,131.79/1,056.06
  6. Step 6: Final answer
    x = 805.95

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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.