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Finding the Fourth Proportional to 1,032.50, 1,424.91 and 590.54

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Solution

The fourth proportional to 1,032.50, 1,424.91 and 590.54 is: 814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.50 : 1,424.91 = 590.54 : x
  2. Step 2: Convert to fraction form
    1,032.50/1,424.91 = 590.54/x
  3. Step 3: Cross multiply
    1,032.50x = 1,424.91 × 590.54
  4. Step 4: Simplify right side
    1,032.50x = 841,466.35
  5. Step 5: Solve for x
    x = 841,466.35/1,032.50
  6. Step 6: Final answer
    x = 814.98

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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.