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Finding the Fourth Proportional to 877.32, 1,210.50 and 582.12

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Solution

The fourth proportional to 877.32, 1,210.50 and 582.12 is: 803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.32 : 1,210.50 = 582.12 : x
  2. Step 2: Convert to fraction form
    877.32/1,210.50 = 582.12/x
  3. Step 3: Cross multiply
    877.32x = 1,210.50 × 582.12
  4. Step 4: Simplify right side
    877.32x = 704,656.26
  5. Step 5: Solve for x
    x = 704,656.26/877.32
  6. Step 6: Final answer
    x = 803.19

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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.