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Finding the Fourth Proportional to 1,036.59, 1,430.46 and 564.49

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Solution

The fourth proportional to 1,036.59, 1,430.46 and 564.49 is: 778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.59 : 1,430.46 = 564.49 : x
  2. Step 2: Convert to fraction form
    1,036.59/1,430.46 = 564.49/x
  3. Step 3: Cross multiply
    1,036.59x = 1,430.46 × 564.49
  4. Step 4: Simplify right side
    1,036.59x = 807,482.15
  5. Step 5: Solve for x
    x = 807,482.15/1,036.59
  6. Step 6: Final answer
    x = 778.98

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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.