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Finding the Fourth Proportional to 1,416.62, 2,124.93 and 647.66

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Solution

The fourth proportional to 1,416.62, 2,124.93 and 647.66 is: 971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.62 : 2,124.93 = 647.66 : x
  2. Step 2: Convert to fraction form
    1,416.62/2,124.93 = 647.66/x
  3. Step 3: Cross multiply
    1,416.62x = 2,124.93 × 647.66
  4. Step 4: Simplify right side
    1,416.62x = 1,376,232.16
  5. Step 5: Solve for x
    x = 1,376,232.16/1,416.62
  6. Step 6: Final answer
    x = 971.49

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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.