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Finding the Fourth Proportional to 526.58, 788.91 and 515.06

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Solution

The fourth proportional to 526.58, 788.91 and 515.06 is: 771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.58 : 788.91 = 515.06 : x
  2. Step 2: Convert to fraction form
    526.58/788.91 = 515.06/x
  3. Step 3: Cross multiply
    526.58x = 788.91 × 515.06
  4. Step 4: Simplify right side
    526.58x = 406,335.98
  5. Step 5: Solve for x
    x = 406,335.98/526.58
  6. Step 6: Final answer
    x = 771.65

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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.