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Finding the Fourth Proportional to 1,056.06, 1,457.24 and 583.93

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Solution

The fourth proportional to 1,056.06, 1,457.24 and 583.93 is: 805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.06 : 1,457.24 = 583.93 : x
  2. Step 2: Convert to fraction form
    1,056.06/1,457.24 = 583.93/x
  3. Step 3: Cross multiply
    1,056.06x = 1,457.24 × 583.93
  4. Step 4: Simplify right side
    1,056.06x = 850,915.95
  5. Step 5: Solve for x
    x = 850,915.95/1,056.06
  6. Step 6: Final answer
    x = 805.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.