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Finding the Fourth Proportional to 1,290.57, 1,934.16 and 597.15

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Solution

The fourth proportional to 1,290.57, 1,934.16 and 597.15 is: 894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.57 : 1,934.16 = 597.15 : x
  2. Step 2: Convert to fraction form
    1,290.57/1,934.16 = 597.15/x
  3. Step 3: Cross multiply
    1,290.57x = 1,934.16 × 597.15
  4. Step 4: Simplify right side
    1,290.57x = 1,154,983.64
  5. Step 5: Solve for x
    x = 1,154,983.64/1,290.57
  6. Step 6: Final answer
    x = 894.94

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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.