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Finding the Fourth Proportional to 1,036.32, 1,430.14 and 564.23

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Solution

The fourth proportional to 1,036.32, 1,430.14 and 564.23 is: 778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.32 : 1,430.14 = 564.23 : x
  2. Step 2: Convert to fraction form
    1,036.32/1,430.14 = 564.23/x
  3. Step 3: Cross multiply
    1,036.32x = 1,430.14 × 564.23
  4. Step 4: Simplify right side
    1,036.32x = 806,927.89
  5. Step 5: Solve for x
    x = 806,927.89/1,036.32
  6. Step 6: Final answer
    x = 778.65

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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.