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Finding the Fourth Proportional to 864.86, 1,192.35 and 688.40

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Solution

The fourth proportional to 864.86, 1,192.35 and 688.40 is: 949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.86 : 1,192.35 = 688.40 : x
  2. Step 2: Convert to fraction form
    864.86/1,192.35 = 688.40/x
  3. Step 3: Cross multiply
    864.86x = 1,192.35 × 688.40
  4. Step 4: Simplify right side
    864.86x = 820,807.78
  5. Step 5: Solve for x
    x = 820,807.78/864.86
  6. Step 6: Final answer
    x = 949.07

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1.5x scale

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.