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Finding the Fourth Proportional to 1,430.01, 1,972.35 and 957.75

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Solution

The fourth proportional to 1,430.01, 1,972.35 and 957.75 is: 1,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.01 : 1,972.35 = 957.75 : x
  2. Step 2: Convert to fraction form
    1,430.01/1,972.35 = 957.75/x
  3. Step 3: Cross multiply
    1,430.01x = 1,972.35 × 957.75
  4. Step 4: Simplify right side
    1,430.01x = 1,889,018.21
  5. Step 5: Solve for x
    x = 1,889,018.21/1,430.01
  6. Step 6: Final answer
    x = 1,320.98

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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.