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Finding the Fourth Proportional to 1,143.46, 1,714.79 and 412.84

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Solution

The fourth proportional to 1,143.46, 1,714.79 and 412.84 is: 619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.46 : 1,714.79 = 412.84 : x
  2. Step 2: Convert to fraction form
    1,143.46/1,714.79 = 412.84/x
  3. Step 3: Cross multiply
    1,143.46x = 1,714.79 × 412.84
  4. Step 4: Simplify right side
    1,143.46x = 707,931.84
  5. Step 5: Solve for x
    x = 707,931.84/1,143.46
  6. Step 6: Final answer
    x = 619.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.