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Finding the Fourth Proportional to 877.70, 1,210.79 and 582.59

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Solution

The fourth proportional to 877.70, 1,210.79 and 582.59 is: 803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.70 : 1,210.79 = 582.59 : x
  2. Step 2: Convert to fraction form
    877.70/1,210.79 = 582.59/x
  3. Step 3: Cross multiply
    877.70x = 1,210.79 × 582.59
  4. Step 4: Simplify right side
    877.70x = 705,389.55
  5. Step 5: Solve for x
    x = 705,389.55/877.70
  6. Step 6: Final answer
    x = 803.68

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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.