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Finding the Fourth Proportional to 1,037.16, 1,430.82 and 663.99

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Solution

The fourth proportional to 1,037.16, 1,430.82 and 663.99 is: 916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.16 : 1,430.82 = 663.99 : x
  2. Step 2: Convert to fraction form
    1,037.16/1,430.82 = 663.99/x
  3. Step 3: Cross multiply
    1,037.16x = 1,430.82 × 663.99
  4. Step 4: Simplify right side
    1,037.16x = 950,050.17
  5. Step 5: Solve for x
    x = 950,050.17/1,037.16
  6. Step 6: Final answer
    x = 916.01

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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.