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Finding the Fourth Proportional to 1,587.76, 2,382.06 and 663.01

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Solution

The fourth proportional to 1,587.76, 2,382.06 and 663.01 is: 994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.76 : 2,382.06 = 663.01 : x
  2. Step 2: Convert to fraction form
    1,587.76/2,382.06 = 663.01/x
  3. Step 3: Cross multiply
    1,587.76x = 2,382.06 × 663.01
  4. Step 4: Simplify right side
    1,587.76x = 1,579,329.60
  5. Step 5: Solve for x
    x = 1,579,329.60/1,587.76
  6. Step 6: Final answer
    x = 994.69

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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.