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Finding the Fourth Proportional to 654.99, 977.40 and 585.75

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Solution

The fourth proportional to 654.99, 977.40 and 585.75 is: 874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.99 : 977.40 = 585.75 : x
  2. Step 2: Convert to fraction form
    654.99/977.40 = 585.75/x
  3. Step 3: Cross multiply
    654.99x = 977.40 × 585.75
  4. Step 4: Simplify right side
    654.99x = 572,512.05
  5. Step 5: Solve for x
    x = 572,512.05/654.99
  6. Step 6: Final answer
    x = 874.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.