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Finding the Fourth Proportional to 970.86, 1,456.89 and 508.89

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Solution

The fourth proportional to 970.86, 1,456.89 and 508.89 is: 763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.86 : 1,456.89 = 508.89 : x
  2. Step 2: Convert to fraction form
    970.86/1,456.89 = 508.89/x
  3. Step 3: Cross multiply
    970.86x = 1,456.89 × 508.89
  4. Step 4: Simplify right side
    970.86x = 741,396.75
  5. Step 5: Solve for x
    x = 741,396.75/970.86
  6. Step 6: Final answer
    x = 763.65

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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.