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Finding the Fourth Proportional to 525.86, 787.58 and 507.64

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Solution

The fourth proportional to 525.86, 787.58 and 507.64 is: 760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.86 : 787.58 = 507.64 : x
  2. Step 2: Convert to fraction form
    525.86/787.58 = 507.64/x
  3. Step 3: Cross multiply
    525.86x = 787.58 × 507.64
  4. Step 4: Simplify right side
    525.86x = 399,806.13
  5. Step 5: Solve for x
    x = 399,806.13/525.86
  6. Step 6: Final answer
    x = 760.28

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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.