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Finding the Fourth Proportional to 651.04, 978.18 and 612.16

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Solution

The fourth proportional to 651.04, 978.18 and 612.16 is: 919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.04 : 978.18 = 612.16 : x
  2. Step 2: Convert to fraction form
    651.04/978.18 = 612.16/x
  3. Step 3: Cross multiply
    651.04x = 978.18 × 612.16
  4. Step 4: Simplify right side
    651.04x = 598,802.67
  5. Step 5: Solve for x
    x = 598,802.67/651.04
  6. Step 6: Final answer
    x = 919.76

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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.