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Finding the Fourth Proportional to 1,036.49, 1,430.06 and 594.36

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Solution

The fourth proportional to 1,036.49, 1,430.06 and 594.36 is: 820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.49 : 1,430.06 = 594.36 : x
  2. Step 2: Convert to fraction form
    1,036.49/1,430.06 = 594.36/x
  3. Step 3: Cross multiply
    1,036.49x = 1,430.06 × 594.36
  4. Step 4: Simplify right side
    1,036.49x = 849,967.49
  5. Step 5: Solve for x
    x = 849,967.49/1,036.49
  6. Step 6: Final answer
    x = 820.05

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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.