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Finding the Fourth Proportional to 1,416.56, 2,124.02 and 647.08

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Solution

The fourth proportional to 1,416.56, 2,124.02 and 647.08 is: 970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.56 : 2,124.02 = 647.08 : x
  2. Step 2: Convert to fraction form
    1,416.56/2,124.02 = 647.08/x
  3. Step 3: Cross multiply
    1,416.56x = 2,124.02 × 647.08
  4. Step 4: Simplify right side
    1,416.56x = 1,374,410.86
  5. Step 5: Solve for x
    x = 1,374,410.86/1,416.56
  6. Step 6: Final answer
    x = 970.25

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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.