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Finding the Fourth Proportional to 816.51, 1,126.80 and 462.45

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Solution

The fourth proportional to 816.51, 1,126.80 and 462.45 is: 638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.51 : 1,126.80 = 462.45 : x
  2. Step 2: Convert to fraction form
    816.51/1,126.80 = 462.45/x
  3. Step 3: Cross multiply
    816.51x = 1,126.80 × 462.45
  4. Step 4: Simplify right side
    816.51x = 521,088.66
  5. Step 5: Solve for x
    x = 521,088.66/816.51
  6. Step 6: Final answer
    x = 638.19

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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.