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Finding the Fourth Proportional to 526.88, 783.64 and 521.12

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Solution

The fourth proportional to 526.88, 783.64 and 521.12 is: 775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.88 : 783.64 = 521.12 : x
  2. Step 2: Convert to fraction form
    526.88/783.64 = 521.12/x
  3. Step 3: Cross multiply
    526.88x = 783.64 × 521.12
  4. Step 4: Simplify right side
    526.88x = 408,370.48
  5. Step 5: Solve for x
    x = 408,370.48/526.88
  6. Step 6: Final answer
    x = 775.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.