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Finding the Fourth Proportional to 1,036.66, 1,430.67 and 594.58

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Solution

The fourth proportional to 1,036.66, 1,430.67 and 594.58 is: 820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.66 : 1,430.67 = 594.58 : x
  2. Step 2: Convert to fraction form
    1,036.66/1,430.67 = 594.58/x
  3. Step 3: Cross multiply
    1,036.66x = 1,430.67 × 594.58
  4. Step 4: Simplify right side
    1,036.66x = 850,647.77
  5. Step 5: Solve for x
    x = 850,647.77/1,036.66
  6. Step 6: Final answer
    x = 820.57

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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.