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Finding the Fourth Proportional to 1,070.40, 1,477.08 and 622.20

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Solution

The fourth proportional to 1,070.40, 1,477.08 and 622.20 is: 858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.40 : 1,477.08 = 622.20 : x
  2. Step 2: Convert to fraction form
    1,070.40/1,477.08 = 622.20/x
  3. Step 3: Cross multiply
    1,070.40x = 1,477.08 × 622.20
  4. Step 4: Simplify right side
    1,070.40x = 919,039.18
  5. Step 5: Solve for x
    x = 919,039.18/1,070.40
  6. Step 6: Final answer
    x = 858.59

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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.