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Finding the Fourth Proportional to 953.80, 1,430.51 and 558.24

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Solution

The fourth proportional to 953.80, 1,430.51 and 558.24 is: 837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.80 : 1,430.51 = 558.24 : x
  2. Step 2: Convert to fraction form
    953.80/1,430.51 = 558.24/x
  3. Step 3: Cross multiply
    953.80x = 1,430.51 × 558.24
  4. Step 4: Simplify right side
    953.80x = 798,570.93
  5. Step 5: Solve for x
    x = 798,570.93/953.80
  6. Step 6: Final answer
    x = 837.25

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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.