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Finding the Fourth Proportional to 707.08, 1,054.64 and 598.12

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Solution

The fourth proportional to 707.08, 1,054.64 and 598.12 is: 892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.08 : 1,054.64 = 598.12 : x
  2. Step 2: Convert to fraction form
    707.08/1,054.64 = 598.12/x
  3. Step 3: Cross multiply
    707.08x = 1,054.64 × 598.12
  4. Step 4: Simplify right side
    707.08x = 630,801.28
  5. Step 5: Solve for x
    x = 630,801.28/707.08
  6. Step 6: Final answer
    x = 892.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.