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Finding the Fourth Proportional to 1,332.10, 1,998.15 and 1,056.70

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Solution

The fourth proportional to 1,332.10, 1,998.15 and 1,056.70 is: 1,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.10 : 1,998.15 = 1,056.70 : x
  2. Step 2: Convert to fraction form
    1,332.10/1,998.15 = 1,056.70/x
  3. Step 3: Cross multiply
    1,332.10x = 1,998.15 × 1,056.70
  4. Step 4: Simplify right side
    1,332.10x = 2,111,445.11
  5. Step 5: Solve for x
    x = 2,111,445.11/1,332.10
  6. Step 6: Final answer
    x = 1,585.05

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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.