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Finding the Fourth Proportional to 1,009.51, 1,393.06 and 590

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Solution

The fourth proportional to 1,009.51, 1,393.06 and 590 is: 814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.51 : 1,393.06 = 590 : x
  2. Step 2: Convert to fraction form
    1,009.51/1,393.06 = 590/x
  3. Step 3: Cross multiply
    1,009.51x = 1,393.06 × 590
  4. Step 4: Simplify right side
    1,009.51x = 821,905.40
  5. Step 5: Solve for x
    x = 821,905.40/1,009.51
  6. Step 6: Final answer
    x = 814.16

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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.