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Finding the Fourth Proportional to 645.79, 891.65 and 570.53

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Solution

The fourth proportional to 645.79, 891.65 and 570.53 is: 787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.79 : 891.65 = 570.53 : x
  2. Step 2: Convert to fraction form
    645.79/891.65 = 570.53/x
  3. Step 3: Cross multiply
    645.79x = 891.65 × 570.53
  4. Step 4: Simplify right side
    645.79x = 508,713.07
  5. Step 5: Solve for x
    x = 508,713.07/645.79
  6. Step 6: Final answer
    x = 787.74

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Why These Related Problems?

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