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Finding the Fourth Proportional to 1,223.34, 1,835.61 and 530.34

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Solution

The fourth proportional to 1,223.34, 1,835.61 and 530.34 is: 795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.34 : 1,835.61 = 530.34 : x
  2. Step 2: Convert to fraction form
    1,223.34/1,835.61 = 530.34/x
  3. Step 3: Cross multiply
    1,223.34x = 1,835.61 × 530.34
  4. Step 4: Simplify right side
    1,223.34x = 973,497.41
  5. Step 5: Solve for x
    x = 973,497.41/1,223.34
  6. Step 6: Final answer
    x = 795.77

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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.