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Finding the Fourth Proportional to 1,036.08, 1,430.06 and 642.89

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Solution

The fourth proportional to 1,036.08, 1,430.06 and 642.89 is: 887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.08 : 1,430.06 = 642.89 : x
  2. Step 2: Convert to fraction form
    1,036.08/1,430.06 = 642.89/x
  3. Step 3: Cross multiply
    1,036.08x = 1,430.06 × 642.89
  4. Step 4: Simplify right side
    1,036.08x = 919,360.91
  5. Step 5: Solve for x
    x = 919,360.91/1,036.08
  6. Step 6: Final answer
    x = 887.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.