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Finding the Fourth Proportional to 1,030.28, 1,421.79 and 564.53

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Solution

The fourth proportional to 1,030.28, 1,421.79 and 564.53 is: 779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.28 : 1,421.79 = 564.53 : x
  2. Step 2: Convert to fraction form
    1,030.28/1,421.79 = 564.53/x
  3. Step 3: Cross multiply
    1,030.28x = 1,421.79 × 564.53
  4. Step 4: Simplify right side
    1,030.28x = 802,643.11
  5. Step 5: Solve for x
    x = 802,643.11/1,030.28
  6. Step 6: Final answer
    x = 779.05

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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.