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Finding the Fourth Proportional to 711.51, 1,065.83 and 580.92

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Solution

The fourth proportional to 711.51, 1,065.83 and 580.92 is: 870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.51 : 1,065.83 = 580.92 : x
  2. Step 2: Convert to fraction form
    711.51/1,065.83 = 580.92/x
  3. Step 3: Cross multiply
    711.51x = 1,065.83 × 580.92
  4. Step 4: Simplify right side
    711.51x = 619,159.06
  5. Step 5: Solve for x
    x = 619,159.06/711.51
  6. Step 6: Final answer
    x = 870.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.