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Finding the Fourth Proportional to 1,210.32, 1,815.61 and 517.06

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Solution

The fourth proportional to 1,210.32, 1,815.61 and 517.06 is: 775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.32 : 1,815.61 = 517.06 : x
  2. Step 2: Convert to fraction form
    1,210.32/1,815.61 = 517.06/x
  3. Step 3: Cross multiply
    1,210.32x = 1,815.61 × 517.06
  4. Step 4: Simplify right side
    1,210.32x = 938,779.31
  5. Step 5: Solve for x
    x = 938,779.31/1,210.32
  6. Step 6: Final answer
    x = 775.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.