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Finding the Fourth Proportional to 1,006.60, 1,509.36 and 421.24

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Solution

The fourth proportional to 1,006.60, 1,509.36 and 421.24 is: 631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.60 : 1,509.36 = 421.24 : x
  2. Step 2: Convert to fraction form
    1,006.60/1,509.36 = 421.24/x
  3. Step 3: Cross multiply
    1,006.60x = 1,509.36 × 421.24
  4. Step 4: Simplify right side
    1,006.60x = 635,802.81
  5. Step 5: Solve for x
    x = 635,802.81/1,006.60
  6. Step 6: Final answer
    x = 631.63

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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.