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Finding the Fourth Proportional to 1,062.85, 1,466.73 and 597.10

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Solution

The fourth proportional to 1,062.85, 1,466.73 and 597.10 is: 824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.85 : 1,466.73 = 597.10 : x
  2. Step 2: Convert to fraction form
    1,062.85/1,466.73 = 597.10/x
  3. Step 3: Cross multiply
    1,062.85x = 1,466.73 × 597.10
  4. Step 4: Simplify right side
    1,062.85x = 875,784.48
  5. Step 5: Solve for x
    x = 875,784.48/1,062.85
  6. Step 6: Final answer
    x = 824.00

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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.