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Finding the Fourth Proportional to 1,075.42, 1,484.79 and 826.29

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Solution

The fourth proportional to 1,075.42, 1,484.79 and 826.29 is: 1,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.42 : 1,484.79 = 826.29 : x
  2. Step 2: Convert to fraction form
    1,075.42/1,484.79 = 826.29/x
  3. Step 3: Cross multiply
    1,075.42x = 1,484.79 × 826.29
  4. Step 4: Simplify right side
    1,075.42x = 1,226,867.13
  5. Step 5: Solve for x
    x = 1,226,867.13/1,075.42
  6. Step 6: Final answer
    x = 1,140.83

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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.