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Finding the Fourth Proportional to 873.72, 1,206.96 and 697.20

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Solution

The fourth proportional to 873.72, 1,206.96 and 697.20 is: 963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.72 : 1,206.96 = 697.20 : x
  2. Step 2: Convert to fraction form
    873.72/1,206.96 = 697.20/x
  3. Step 3: Cross multiply
    873.72x = 1,206.96 × 697.20
  4. Step 4: Simplify right side
    873.72x = 841,492.51
  5. Step 5: Solve for x
    x = 841,492.51/873.72
  6. Step 6: Final answer
    x = 963.11

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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.