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Finding the Fourth Proportional to 864.42, 1,192.76 and 545.34

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Solution

The fourth proportional to 864.42, 1,192.76 and 545.34 is: 752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,192.76 = 545.34 : x
  2. Step 2: Convert to fraction form
    864.42/1,192.76 = 545.34/x
  3. Step 3: Cross multiply
    864.42x = 1,192.76 × 545.34
  4. Step 4: Simplify right side
    864.42x = 650,463.53
  5. Step 5: Solve for x
    x = 650,463.53/864.42
  6. Step 6: Final answer
    x = 752.49

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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.