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Finding the Fourth Proportional to 740.94, 1,111.43 and 521.84

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Solution

The fourth proportional to 740.94, 1,111.43 and 521.84 is: 782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.94 : 1,111.43 = 521.84 : x
  2. Step 2: Convert to fraction form
    740.94/1,111.43 = 521.84/x
  3. Step 3: Cross multiply
    740.94x = 1,111.43 × 521.84
  4. Step 4: Simplify right side
    740.94x = 579,980.46
  5. Step 5: Solve for x
    x = 579,980.46/740.94
  6. Step 6: Final answer
    x = 782.76

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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.