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Finding the Fourth Proportional to 1,038.33, 1,432.80 and 590.19

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Solution

The fourth proportional to 1,038.33, 1,432.80 and 590.19 is: 814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.33 : 1,432.80 = 590.19 : x
  2. Step 2: Convert to fraction form
    1,038.33/1,432.80 = 590.19/x
  3. Step 3: Cross multiply
    1,038.33x = 1,432.80 × 590.19
  4. Step 4: Simplify right side
    1,038.33x = 845,624.23
  5. Step 5: Solve for x
    x = 845,624.23/1,038.33
  6. Step 6: Final answer
    x = 814.41

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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.