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Finding the Fourth Proportional to 839.51, 1,158.51 and 466.48

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Solution

The fourth proportional to 839.51, 1,158.51 and 466.48 is: 643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.51 : 1,158.51 = 466.48 : x
  2. Step 2: Convert to fraction form
    839.51/1,158.51 = 466.48/x
  3. Step 3: Cross multiply
    839.51x = 1,158.51 × 466.48
  4. Step 4: Simplify right side
    839.51x = 540,421.74
  5. Step 5: Solve for x
    x = 540,421.74/839.51
  6. Step 6: Final answer
    x = 643.74

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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.