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Finding the Fourth Proportional to 738.19, 1,017.75 and 604.92

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Solution

The fourth proportional to 738.19, 1,017.75 and 604.92 is: 834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.19 : 1,017.75 = 604.92 : x
  2. Step 2: Convert to fraction form
    738.19/1,017.75 = 604.92/x
  3. Step 3: Cross multiply
    738.19x = 1,017.75 × 604.92
  4. Step 4: Simplify right side
    738.19x = 615,663.42
  5. Step 5: Solve for x
    x = 615,663.42/738.19
  6. Step 6: Final answer
    x = 834.02

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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.