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Finding the Fourth Proportional to 526.32, 783.90 and 519.90

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Solution

The fourth proportional to 526.32, 783.90 and 519.90 is: 774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.32 : 783.90 = 519.90 : x
  2. Step 2: Convert to fraction form
    526.32/783.90 = 519.90/x
  3. Step 3: Cross multiply
    526.32x = 783.90 × 519.90
  4. Step 4: Simplify right side
    526.32x = 407,549.61
  5. Step 5: Solve for x
    x = 407,549.61/526.32
  6. Step 6: Final answer
    x = 774.34

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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.