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Finding the Fourth Proportional to 1,021.59, 1,410.35 and 703.01

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Solution

The fourth proportional to 1,021.59, 1,410.35 and 703.01 is: 970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.59 : 1,410.35 = 703.01 : x
  2. Step 2: Convert to fraction form
    1,021.59/1,410.35 = 703.01/x
  3. Step 3: Cross multiply
    1,021.59x = 1,410.35 × 703.01
  4. Step 4: Simplify right side
    1,021.59x = 991,490.16
  5. Step 5: Solve for x
    x = 991,490.16/1,021.59
  6. Step 6: Final answer
    x = 970.54

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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.