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Finding the Fourth Proportional to 1,290.02, 1,934.16 and 596.30

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Solution

The fourth proportional to 1,290.02, 1,934.16 and 596.30 is: 894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.02 : 1,934.16 = 596.30 : x
  2. Step 2: Convert to fraction form
    1,290.02/1,934.16 = 596.30/x
  3. Step 3: Cross multiply
    1,290.02x = 1,934.16 × 596.30
  4. Step 4: Simplify right side
    1,290.02x = 1,153,339.61
  5. Step 5: Solve for x
    x = 1,153,339.61/1,290.02
  6. Step 6: Final answer
    x = 894.05

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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.