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Finding the Fourth Proportional to 978.89, 1,460.68 and 875.31

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Solution

The fourth proportional to 978.89, 1,460.68 and 875.31 is: 1,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.89 : 1,460.68 = 875.31 : x
  2. Step 2: Convert to fraction form
    978.89/1,460.68 = 875.31/x
  3. Step 3: Cross multiply
    978.89x = 1,460.68 × 875.31
  4. Step 4: Simplify right side
    978.89x = 1,278,547.09
  5. Step 5: Solve for x
    x = 1,278,547.09/978.89
  6. Step 6: Final answer
    x = 1,306.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.