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Finding the Fourth Proportional to 955.40, 1,434.45 and 590.90

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Solution

The fourth proportional to 955.40, 1,434.45 and 590.90 is: 887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.40 : 1,434.45 = 590.90 : x
  2. Step 2: Convert to fraction form
    955.40/1,434.45 = 590.90/x
  3. Step 3: Cross multiply
    955.40x = 1,434.45 × 590.90
  4. Step 4: Simplify right side
    955.40x = 847,616.51
  5. Step 5: Solve for x
    x = 847,616.51/955.40
  6. Step 6: Final answer
    x = 887.18

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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.