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Finding the Fourth Proportional to 711.63, 1,061.73 and 607.77

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Solution

The fourth proportional to 711.63, 1,061.73 and 607.77 is: 906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.63 : 1,061.73 = 607.77 : x
  2. Step 2: Convert to fraction form
    711.63/1,061.73 = 607.77/x
  3. Step 3: Cross multiply
    711.63x = 1,061.73 × 607.77
  4. Step 4: Simplify right side
    711.63x = 645,287.64
  5. Step 5: Solve for x
    x = 645,287.64/711.63
  6. Step 6: Final answer
    x = 906.77

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Why These Related Problems?

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