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Finding the Fourth Proportional to 1,051.59, 1,450.32 and 697.53

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Solution

The fourth proportional to 1,051.59, 1,450.32 and 697.53 is: 962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.59 : 1,450.32 = 697.53 : x
  2. Step 2: Convert to fraction form
    1,051.59/1,450.32 = 697.53/x
  3. Step 3: Cross multiply
    1,051.59x = 1,450.32 × 697.53
  4. Step 4: Simplify right side
    1,051.59x = 1,011,641.71
  5. Step 5: Solve for x
    x = 1,011,641.71/1,051.59
  6. Step 6: Final answer
    x = 962.01

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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.