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Finding the Fourth Proportional to 1,283.56, 1,925.58 and 417.64

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Solution

The fourth proportional to 1,283.56, 1,925.58 and 417.64 is: 626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.56 : 1,925.58 = 417.64 : x
  2. Step 2: Convert to fraction form
    1,283.56/1,925.58 = 417.64/x
  3. Step 3: Cross multiply
    1,283.56x = 1,925.58 × 417.64
  4. Step 4: Simplify right side
    1,283.56x = 804,199.23
  5. Step 5: Solve for x
    x = 804,199.23/1,283.56
  6. Step 6: Final answer
    x = 626.54

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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.