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Finding the Fourth Proportional to 651.88, 975.92 and 507.70

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Solution

The fourth proportional to 651.88, 975.92 and 507.70 is: 760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.88 : 975.92 = 507.70 : x
  2. Step 2: Convert to fraction form
    651.88/975.92 = 507.70/x
  3. Step 3: Cross multiply
    651.88x = 975.92 × 507.70
  4. Step 4: Simplify right side
    651.88x = 495,474.58
  5. Step 5: Solve for x
    x = 495,474.58/651.88
  6. Step 6: Final answer
    x = 760.07

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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.