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Finding the Fourth Proportional to 651.69, 978.12 and 476.15

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Solution

The fourth proportional to 651.69, 978.12 and 476.15 is: 714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.69 : 978.12 = 476.15 : x
  2. Step 2: Convert to fraction form
    651.69/978.12 = 476.15/x
  3. Step 3: Cross multiply
    651.69x = 978.12 × 476.15
  4. Step 4: Simplify right side
    651.69x = 465,726.95
  5. Step 5: Solve for x
    x = 465,726.95/651.69
  6. Step 6: Final answer
    x = 714.64

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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.