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Finding the Fourth Proportional to 1,036.15, 1,430.46 and 756.10

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Solution

The fourth proportional to 1,036.15, 1,430.46 and 756.10 is: 1,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.15 : 1,430.46 = 756.10 : x
  2. Step 2: Convert to fraction form
    1,036.15/1,430.46 = 756.10/x
  3. Step 3: Cross multiply
    1,036.15x = 1,430.46 × 756.10
  4. Step 4: Simplify right side
    1,036.15x = 1,081,570.81
  5. Step 5: Solve for x
    x = 1,081,570.81/1,036.15
  6. Step 6: Final answer
    x = 1,043.84

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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.