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Finding the Fourth Proportional to 846.51, 1,168.08 and 473.49

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Solution

The fourth proportional to 846.51, 1,168.08 and 473.49 is: 653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.51 : 1,168.08 = 473.49 : x
  2. Step 2: Convert to fraction form
    846.51/1,168.08 = 473.49/x
  3. Step 3: Cross multiply
    846.51x = 1,168.08 × 473.49
  4. Step 4: Simplify right side
    846.51x = 553,074.20
  5. Step 5: Solve for x
    x = 553,074.20/846.51
  6. Step 6: Final answer
    x = 653.36

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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.