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Finding the Fourth Proportional to 1,292.28, 1,937.14 and 561.24

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Solution

The fourth proportional to 1,292.28, 1,937.14 and 561.24 is: 841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.28 : 1,937.14 = 561.24 : x
  2. Step 2: Convert to fraction form
    1,292.28/1,937.14 = 561.24/x
  3. Step 3: Cross multiply
    1,292.28x = 1,937.14 × 561.24
  4. Step 4: Simplify right side
    1,292.28x = 1,087,200.45
  5. Step 5: Solve for x
    x = 1,087,200.45/1,292.28
  6. Step 6: Final answer
    x = 841.30

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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.