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Finding the Fourth Proportional to 877.07, 1,210.41 and 597.87

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Solution

The fourth proportional to 877.07, 1,210.41 and 597.87 is: 825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.07 : 1,210.41 = 597.87 : x
  2. Step 2: Convert to fraction form
    877.07/1,210.41 = 597.87/x
  3. Step 3: Cross multiply
    877.07x = 1,210.41 × 597.87
  4. Step 4: Simplify right side
    877.07x = 723,667.83
  5. Step 5: Solve for x
    x = 723,667.83/877.07
  6. Step 6: Final answer
    x = 825.10

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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.