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Finding the Fourth Proportional to 864.36, 1,192.64 and 510.20

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Solution

The fourth proportional to 864.36, 1,192.64 and 510.20 is: 703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.36 : 1,192.64 = 510.20 : x
  2. Step 2: Convert to fraction form
    864.36/1,192.64 = 510.20/x
  3. Step 3: Cross multiply
    864.36x = 1,192.64 × 510.20
  4. Step 4: Simplify right side
    864.36x = 608,484.93
  5. Step 5: Solve for x
    x = 608,484.93/864.36
  6. Step 6: Final answer
    x = 703.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.