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Finding the Fourth Proportional to 876.88, 1,210.50 and 527.50

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Solution

The fourth proportional to 876.88, 1,210.50 and 527.50 is: 728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.88 : 1,210.50 = 527.50 : x
  2. Step 2: Convert to fraction form
    876.88/1,210.50 = 527.50/x
  3. Step 3: Cross multiply
    876.88x = 1,210.50 × 527.50
  4. Step 4: Simplify right side
    876.88x = 638,538.75
  5. Step 5: Solve for x
    x = 638,538.75/876.88
  6. Step 6: Final answer
    x = 728.19

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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.