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Finding the Fourth Proportional to 1,033.46, 1,549.23 and 707.78

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Solution

The fourth proportional to 1,033.46, 1,549.23 and 707.78 is: 1,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.46 : 1,549.23 = 707.78 : x
  2. Step 2: Convert to fraction form
    1,033.46/1,549.23 = 707.78/x
  3. Step 3: Cross multiply
    1,033.46x = 1,549.23 × 707.78
  4. Step 4: Simplify right side
    1,033.46x = 1,096,514.01
  5. Step 5: Solve for x
    x = 1,096,514.01/1,033.46
  6. Step 6: Final answer
    x = 1,061.01

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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.