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Finding the Fourth Proportional to 1,070.80, 1,477.64 and 598.75

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Solution

The fourth proportional to 1,070.80, 1,477.64 and 598.75 is: 826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.80 : 1,477.64 = 598.75 : x
  2. Step 2: Convert to fraction form
    1,070.80/1,477.64 = 598.75/x
  3. Step 3: Cross multiply
    1,070.80x = 1,477.64 × 598.75
  4. Step 4: Simplify right side
    1,070.80x = 884,734.75
  5. Step 5: Solve for x
    x = 884,734.75/1,070.80
  6. Step 6: Final answer
    x = 826.24

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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.