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Finding the Fourth Proportional to 1,036.56, 1,430.49 and 705.15

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Solution

The fourth proportional to 1,036.56, 1,430.49 and 705.15 is: 973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.56 : 1,430.49 = 705.15 : x
  2. Step 2: Convert to fraction form
    1,036.56/1,430.49 = 705.15/x
  3. Step 3: Cross multiply
    1,036.56x = 1,430.49 × 705.15
  4. Step 4: Simplify right side
    1,036.56x = 1,008,710.02
  5. Step 5: Solve for x
    x = 1,008,710.02/1,036.56
  6. Step 6: Final answer
    x = 973.13

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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.