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Finding the Fourth Proportional to 1,075.51, 1,613.67 and 498.25

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Solution

The fourth proportional to 1,075.51, 1,613.67 and 498.25 is: 747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.51 : 1,613.67 = 498.25 : x
  2. Step 2: Convert to fraction form
    1,075.51/1,613.67 = 498.25/x
  3. Step 3: Cross multiply
    1,075.51x = 1,613.67 × 498.25
  4. Step 4: Simplify right side
    1,075.51x = 804,011.08
  5. Step 5: Solve for x
    x = 804,011.08/1,075.51
  6. Step 6: Final answer
    x = 747.56

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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.