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Finding the Fourth Proportional to 1,464.72, 2,020.59 and 875.10

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Solution

The fourth proportional to 1,464.72, 2,020.59 and 875.10 is: 1,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.72 : 2,020.59 = 875.10 : x
  2. Step 2: Convert to fraction form
    1,464.72/2,020.59 = 875.10/x
  3. Step 3: Cross multiply
    1,464.72x = 2,020.59 × 875.10
  4. Step 4: Simplify right side
    1,464.72x = 1,768,218.31
  5. Step 5: Solve for x
    x = 1,768,218.31/1,464.72
  6. Step 6: Final answer
    x = 1,207.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.