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Finding the Fourth Proportional to 1,223.16, 1,835.04 and 607.16

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Solution

The fourth proportional to 1,223.16, 1,835.04 and 607.16 is: 910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.16 : 1,835.04 = 607.16 : x
  2. Step 2: Convert to fraction form
    1,223.16/1,835.04 = 607.16/x
  3. Step 3: Cross multiply
    1,223.16x = 1,835.04 × 607.16
  4. Step 4: Simplify right side
    1,223.16x = 1,114,153.71
  5. Step 5: Solve for x
    x = 1,114,153.71/1,223.16
  6. Step 6: Final answer
    x = 910.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.