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Finding the Fourth Proportional to 1,066.26, 1,590.18 and 1,041.42

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Solution

The fourth proportional to 1,066.26, 1,590.18 and 1,041.42 is: 1,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.26 : 1,590.18 = 1,041.42 : x
  2. Step 2: Convert to fraction form
    1,066.26/1,590.18 = 1,041.42/x
  3. Step 3: Cross multiply
    1,066.26x = 1,590.18 × 1,041.42
  4. Step 4: Simplify right side
    1,066.26x = 1,656,045.26
  5. Step 5: Solve for x
    x = 1,656,045.26/1,066.26
  6. Step 6: Final answer
    x = 1,553.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.