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Finding the Fourth Proportional to 1,044.42, 1,562.58 and 718.80

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Solution

The fourth proportional to 1,044.42, 1,562.58 and 718.80 is: 1,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.42 : 1,562.58 = 718.80 : x
  2. Step 2: Convert to fraction form
    1,044.42/1,562.58 = 718.80/x
  3. Step 3: Cross multiply
    1,044.42x = 1,562.58 × 718.80
  4. Step 4: Simplify right side
    1,044.42x = 1,123,182.50
  5. Step 5: Solve for x
    x = 1,123,182.50/1,044.42
  6. Step 6: Final answer
    x = 1,075.41

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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.