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Finding the Fourth Proportional to 1,038.02, 1,431.38 and 802.01

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Solution

The fourth proportional to 1,038.02, 1,431.38 and 802.01 is: 1,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.02 : 1,431.38 = 802.01 : x
  2. Step 2: Convert to fraction form
    1,038.02/1,431.38 = 802.01/x
  3. Step 3: Cross multiply
    1,038.02x = 1,431.38 × 802.01
  4. Step 4: Simplify right side
    1,038.02x = 1,147,981.07
  5. Step 5: Solve for x
    x = 1,147,981.07/1,038.02
  6. Step 6: Final answer
    x = 1,105.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.