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Finding the Fourth Proportional to 1,376.57, 1,899.67 and 787.45

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Solution

The fourth proportional to 1,376.57, 1,899.67 and 787.45 is: 1,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.57 : 1,899.67 = 787.45 : x
  2. Step 2: Convert to fraction form
    1,376.57/1,899.67 = 787.45/x
  3. Step 3: Cross multiply
    1,376.57x = 1,899.67 × 787.45
  4. Step 4: Simplify right side
    1,376.57x = 1,495,895.14
  5. Step 5: Solve for x
    x = 1,495,895.14/1,376.57
  6. Step 6: Final answer
    x = 1,086.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.