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Finding the Fourth Proportional to 1,087.52, 1,500.75 and 590.15

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Solution

The fourth proportional to 1,087.52, 1,500.75 and 590.15 is: 814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.52 : 1,500.75 = 590.15 : x
  2. Step 2: Convert to fraction form
    1,087.52/1,500.75 = 590.15/x
  3. Step 3: Cross multiply
    1,087.52x = 1,500.75 × 590.15
  4. Step 4: Simplify right side
    1,087.52x = 885,660.11
  5. Step 5: Solve for x
    x = 885,660.11/1,087.52
  6. Step 6: Final answer
    x = 814.39

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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.