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Finding the Fourth Proportional to 1,207.12, 1,666.20 and 814.72

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Solution

The fourth proportional to 1,207.12, 1,666.20 and 814.72 is: 1,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.12 : 1,666.20 = 814.72 : x
  2. Step 2: Convert to fraction form
    1,207.12/1,666.20 = 814.72/x
  3. Step 3: Cross multiply
    1,207.12x = 1,666.20 × 814.72
  4. Step 4: Simplify right side
    1,207.12x = 1,357,486.46
  5. Step 5: Solve for x
    x = 1,357,486.46/1,207.12
  6. Step 6: Final answer
    x = 1,124.57

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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.