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Finding the Fourth Proportional to 1,558.19, 2,337.65 and 462.53

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Solution

The fourth proportional to 1,558.19, 2,337.65 and 462.53 is: 693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.19 : 2,337.65 = 462.53 : x
  2. Step 2: Convert to fraction form
    1,558.19/2,337.65 = 462.53/x
  3. Step 3: Cross multiply
    1,558.19x = 2,337.65 × 462.53
  4. Step 4: Simplify right side
    1,558.19x = 1,081,219.25
  5. Step 5: Solve for x
    x = 1,081,219.25/1,558.19
  6. Step 6: Final answer
    x = 693.90

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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.