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Finding the Fourth Proportional to 876.96, 1,210.50 and 527.67

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Solution

The fourth proportional to 876.96, 1,210.50 and 527.67 is: 728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.96 : 1,210.50 = 527.67 : x
  2. Step 2: Convert to fraction form
    876.96/1,210.50 = 527.67/x
  3. Step 3: Cross multiply
    876.96x = 1,210.50 × 527.67
  4. Step 4: Simplify right side
    876.96x = 638,744.54
  5. Step 5: Solve for x
    x = 638,744.54/876.96
  6. Step 6: Final answer
    x = 728.36

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1.5x scale

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.