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Finding the Fourth Proportional to 691.01, 1,036.80 and 459.98

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Solution

The fourth proportional to 691.01, 1,036.80 and 459.98 is: 690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.01 : 1,036.80 = 459.98 : x
  2. Step 2: Convert to fraction form
    691.01/1,036.80 = 459.98/x
  3. Step 3: Cross multiply
    691.01x = 1,036.80 × 459.98
  4. Step 4: Simplify right side
    691.01x = 476,907.26
  5. Step 5: Solve for x
    x = 476,907.26/691.01
  6. Step 6: Final answer
    x = 690.16

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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.