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Finding the Fourth Proportional to 703.74, 1,056.51 and 541.53

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Solution

The fourth proportional to 703.74, 1,056.51 and 541.53 is: 812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.74 : 1,056.51 = 541.53 : x
  2. Step 2: Convert to fraction form
    703.74/1,056.51 = 541.53/x
  3. Step 3: Cross multiply
    703.74x = 1,056.51 × 541.53
  4. Step 4: Simplify right side
    703.74x = 572,131.86
  5. Step 5: Solve for x
    x = 572,131.86/703.74
  6. Step 6: Final answer
    x = 812.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.