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Finding the Fourth Proportional to 715.86, 989.10 and 569.79

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Solution

The fourth proportional to 715.86, 989.10 and 569.79 is: 787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.86 : 989.10 = 569.79 : x
  2. Step 2: Convert to fraction form
    715.86/989.10 = 569.79/x
  3. Step 3: Cross multiply
    715.86x = 989.10 × 569.79
  4. Step 4: Simplify right side
    715.86x = 563,579.29
  5. Step 5: Solve for x
    x = 563,579.29/715.86
  6. Step 6: Final answer
    x = 787.28

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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.