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Finding the Fourth Proportional to 877.05, 1,210.32 and 527.67

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Solution

The fourth proportional to 877.05, 1,210.32 and 527.67 is: 728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.05 : 1,210.32 = 527.67 : x
  2. Step 2: Convert to fraction form
    877.05/1,210.32 = 527.67/x
  3. Step 3: Cross multiply
    877.05x = 1,210.32 × 527.67
  4. Step 4: Simplify right side
    877.05x = 638,649.55
  5. Step 5: Solve for x
    x = 638,649.55/877.05
  6. Step 6: Final answer
    x = 728.18

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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.