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Finding the Fourth Proportional to 1,214.51, 1,820.16 and 775.74

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Solution

The fourth proportional to 1,214.51, 1,820.16 and 775.74 is: 1,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.51 : 1,820.16 = 775.74 : x
  2. Step 2: Convert to fraction form
    1,214.51/1,820.16 = 775.74/x
  3. Step 3: Cross multiply
    1,214.51x = 1,820.16 × 775.74
  4. Step 4: Simplify right side
    1,214.51x = 1,411,970.92
  5. Step 5: Solve for x
    x = 1,411,970.92/1,214.51
  6. Step 6: Final answer
    x = 1,162.58

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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.