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Finding the Fourth Proportional to 1,038.02, 1,431.68 and 706.32

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Solution

The fourth proportional to 1,038.02, 1,431.68 and 706.32 is: 974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.02 : 1,431.68 = 706.32 : x
  2. Step 2: Convert to fraction form
    1,038.02/1,431.68 = 706.32/x
  3. Step 3: Cross multiply
    1,038.02x = 1,431.68 × 706.32
  4. Step 4: Simplify right side
    1,038.02x = 1,011,220.69
  5. Step 5: Solve for x
    x = 1,011,220.69/1,038.02
  6. Step 6: Final answer
    x = 974.19

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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.