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Finding the Fourth Proportional to 1,036.55, 1,430.44 and 564.46

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Solution

The fourth proportional to 1,036.55, 1,430.44 and 564.46 is: 778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.55 : 1,430.44 = 564.46 : x
  2. Step 2: Convert to fraction form
    1,036.55/1,430.44 = 564.46/x
  3. Step 3: Cross multiply
    1,036.55x = 1,430.44 × 564.46
  4. Step 4: Simplify right side
    1,036.55x = 807,421.18
  5. Step 5: Solve for x
    x = 807,421.18/1,036.55
  6. Step 6: Final answer
    x = 778.95

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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.