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Finding the Fourth Proportional to 1,399.82, 1,931.56 and 802.24

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Solution

The fourth proportional to 1,399.82, 1,931.56 and 802.24 is: 1,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.82 : 1,931.56 = 802.24 : x
  2. Step 2: Convert to fraction form
    1,399.82/1,931.56 = 802.24/x
  3. Step 3: Cross multiply
    1,399.82x = 1,931.56 × 802.24
  4. Step 4: Simplify right side
    1,399.82x = 1,549,574.69
  5. Step 5: Solve for x
    x = 1,549,574.69/1,399.82
  6. Step 6: Final answer
    x = 1,106.98

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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.