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Finding the Fourth Proportional to 1,585.84, 2,378.77 and 431.59

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Solution

The fourth proportional to 1,585.84, 2,378.77 and 431.59 is: 647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.84 : 2,378.77 = 431.59 : x
  2. Step 2: Convert to fraction form
    1,585.84/2,378.77 = 431.59/x
  3. Step 3: Cross multiply
    1,585.84x = 2,378.77 × 431.59
  4. Step 4: Simplify right side
    1,585.84x = 1,026,653.34
  5. Step 5: Solve for x
    x = 1,026,653.34/1,585.84
  6. Step 6: Final answer
    x = 647.39

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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.