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Finding the Fourth Proportional to 803.42, 1,108.68 and 454.16

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Solution

The fourth proportional to 803.42, 1,108.68 and 454.16 is: 626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.42 : 1,108.68 = 454.16 : x
  2. Step 2: Convert to fraction form
    803.42/1,108.68 = 454.16/x
  3. Step 3: Cross multiply
    803.42x = 1,108.68 × 454.16
  4. Step 4: Simplify right side
    803.42x = 503,518.11
  5. Step 5: Solve for x
    x = 503,518.11/803.42
  6. Step 6: Final answer
    x = 626.72

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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.