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Finding the Fourth Proportional to 1,223.70, 1,835.79 and 530.25

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Solution

The fourth proportional to 1,223.70, 1,835.79 and 530.25 is: 795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.70 : 1,835.79 = 530.25 : x
  2. Step 2: Convert to fraction form
    1,223.70/1,835.79 = 530.25/x
  3. Step 3: Cross multiply
    1,223.70x = 1,835.79 × 530.25
  4. Step 4: Simplify right side
    1,223.70x = 973,427.65
  5. Step 5: Solve for x
    x = 973,427.65/1,223.70
  6. Step 6: Final answer
    x = 795.48

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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.