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Finding the Fourth Proportional to 1,711.64, 2,566.92 and 557.12

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Solution

The fourth proportional to 1,711.64, 2,566.92 and 557.12 is: 835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.64 : 2,566.92 = 557.12 : x
  2. Step 2: Convert to fraction form
    1,711.64/2,566.92 = 557.12/x
  3. Step 3: Cross multiply
    1,711.64x = 2,566.92 × 557.12
  4. Step 4: Simplify right side
    1,711.64x = 1,430,082.47
  5. Step 5: Solve for x
    x = 1,430,082.47/1,711.64
  6. Step 6: Final answer
    x = 835.50

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1.5x scale

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.