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Finding the Fourth Proportional to 1,070.02, 1,604.58 and 522.16

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Solution

The fourth proportional to 1,070.02, 1,604.58 and 522.16 is: 783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.02 : 1,604.58 = 522.16 : x
  2. Step 2: Convert to fraction form
    1,070.02/1,604.58 = 522.16/x
  3. Step 3: Cross multiply
    1,070.02x = 1,604.58 × 522.16
  4. Step 4: Simplify right side
    1,070.02x = 837,847.49
  5. Step 5: Solve for x
    x = 837,847.49/1,070.02
  6. Step 6: Final answer
    x = 783.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.