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Finding the Fourth Proportional to 877.51, 1,210.71 and 504.46

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Solution

The fourth proportional to 877.51, 1,210.71 and 504.46 is: 696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.51 : 1,210.71 = 504.46 : x
  2. Step 2: Convert to fraction form
    877.51/1,210.71 = 504.46/x
  3. Step 3: Cross multiply
    877.51x = 1,210.71 × 504.46
  4. Step 4: Simplify right side
    877.51x = 610,754.77
  5. Step 5: Solve for x
    x = 610,754.77/877.51
  6. Step 6: Final answer
    x = 696.01

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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.