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Finding the Fourth Proportional to 1,036.32, 1,430.26 and 588.18

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Solution

The fourth proportional to 1,036.32, 1,430.26 and 588.18 is: 811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.32 : 1,430.26 = 588.18 : x
  2. Step 2: Convert to fraction form
    1,036.32/1,430.26 = 588.18/x
  3. Step 3: Cross multiply
    1,036.32x = 1,430.26 × 588.18
  4. Step 4: Simplify right side
    1,036.32x = 841,250.33
  5. Step 5: Solve for x
    x = 841,250.33/1,036.32
  6. Step 6: Final answer
    x = 811.77

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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.