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Finding the Fourth Proportional to 1,075.72, 1,484.96 and 813.80

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Solution

The fourth proportional to 1,075.72, 1,484.96 and 813.80 is: 1,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.72 : 1,484.96 = 813.80 : x
  2. Step 2: Convert to fraction form
    1,075.72/1,484.96 = 813.80/x
  3. Step 3: Cross multiply
    1,075.72x = 1,484.96 × 813.80
  4. Step 4: Simplify right side
    1,075.72x = 1,208,460.45
  5. Step 5: Solve for x
    x = 1,208,460.45/1,075.72
  6. Step 6: Final answer
    x = 1,123.40

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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.