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Finding the Fourth Proportional to 1,580.04, 2,368.91 and 483.77

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Solution

The fourth proportional to 1,580.04, 2,368.91 and 483.77 is: 725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.04 : 2,368.91 = 483.77 : x
  2. Step 2: Convert to fraction form
    1,580.04/2,368.91 = 483.77/x
  3. Step 3: Cross multiply
    1,580.04x = 2,368.91 × 483.77
  4. Step 4: Simplify right side
    1,580.04x = 1,146,014.72
  5. Step 5: Solve for x
    x = 1,146,014.72/1,580.04
  6. Step 6: Final answer
    x = 725.31

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