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Finding the Fourth Proportional to 1,464.48, 2,020.95 and 875.07

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Solution

The fourth proportional to 1,464.48, 2,020.95 and 875.07 is: 1,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.48 : 2,020.95 = 875.07 : x
  2. Step 2: Convert to fraction form
    1,464.48/2,020.95 = 875.07/x
  3. Step 3: Cross multiply
    1,464.48x = 2,020.95 × 875.07
  4. Step 4: Simplify right side
    1,464.48x = 1,768,472.72
  5. Step 5: Solve for x
    x = 1,768,472.72/1,464.48
  6. Step 6: Final answer
    x = 1,207.58

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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.