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Finding the Fourth Proportional to 1,032.30, 1,424.67 and 590.25

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Solution

The fourth proportional to 1,032.30, 1,424.67 and 590.25 is: 814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.30 : 1,424.67 = 590.25 : x
  2. Step 2: Convert to fraction form
    1,032.30/1,424.67 = 590.25/x
  3. Step 3: Cross multiply
    1,032.30x = 1,424.67 × 590.25
  4. Step 4: Simplify right side
    1,032.30x = 840,911.47
  5. Step 5: Solve for x
    x = 840,911.47/1,032.30
  6. Step 6: Final answer
    x = 814.60

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1.5x scale

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.