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Finding the Fourth Proportional to 1,482.04, 2,223.26 and 507.88

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Solution

The fourth proportional to 1,482.04, 2,223.26 and 507.88 is: 761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.04 : 2,223.26 = 507.88 : x
  2. Step 2: Convert to fraction form
    1,482.04/2,223.26 = 507.88/x
  3. Step 3: Cross multiply
    1,482.04x = 2,223.26 × 507.88
  4. Step 4: Simplify right side
    1,482.04x = 1,129,149.29
  5. Step 5: Solve for x
    x = 1,129,149.29/1,482.04
  6. Step 6: Final answer
    x = 761.89

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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.