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Finding the Fourth Proportional to 1,501.74, 2,253.06 and 527.90

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Solution

The fourth proportional to 1,501.74, 2,253.06 and 527.90 is: 792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.74 : 2,253.06 = 527.90 : x
  2. Step 2: Convert to fraction form
    1,501.74/2,253.06 = 527.90/x
  3. Step 3: Cross multiply
    1,501.74x = 2,253.06 × 527.90
  4. Step 4: Simplify right side
    1,501.74x = 1,189,379.11
  5. Step 5: Solve for x
    x = 1,189,379.11/1,501.74
  6. Step 6: Final answer
    x = 792.00

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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.