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Finding the Fourth Proportional to 526.40, 787.84 and 512.48

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Solution

The fourth proportional to 526.40, 787.84 and 512.48 is: 767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.40 : 787.84 = 512.48 : x
  2. Step 2: Convert to fraction form
    526.40/787.84 = 512.48/x
  3. Step 3: Cross multiply
    526.40x = 787.84 × 512.48
  4. Step 4: Simplify right side
    526.40x = 403,752.24
  5. Step 5: Solve for x
    x = 403,752.24/526.40
  6. Step 6: Final answer
    x = 767.01

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