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Finding the Fourth Proportional to 1,215.77, 1,823.65 and 350.08

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Solution

The fourth proportional to 1,215.77, 1,823.65 and 350.08 is: 525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.77 : 1,823.65 = 350.08 : x
  2. Step 2: Convert to fraction form
    1,215.77/1,823.65 = 350.08/x
  3. Step 3: Cross multiply
    1,215.77x = 1,823.65 × 350.08
  4. Step 4: Simplify right side
    1,215.77x = 638,417.96
  5. Step 5: Solve for x
    x = 638,417.96/1,215.77
  6. Step 6: Final answer
    x = 525.12

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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.