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Finding the Fourth Proportional to 1,558.04, 2,336.66 and 462.15

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Solution

The fourth proportional to 1,558.04, 2,336.66 and 462.15 is: 693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.04 : 2,336.66 = 462.15 : x
  2. Step 2: Convert to fraction form
    1,558.04/2,336.66 = 462.15/x
  3. Step 3: Cross multiply
    1,558.04x = 2,336.66 × 462.15
  4. Step 4: Simplify right side
    1,558.04x = 1,079,875.74
  5. Step 5: Solve for x
    x = 1,079,875.74/1,558.04
  6. Step 6: Final answer
    x = 693.10

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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.