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Finding the Fourth Proportional to 707.10, 1,055.61 and 597.72

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Solution

The fourth proportional to 707.10, 1,055.61 and 597.72 is: 892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.10 : 1,055.61 = 597.72 : x
  2. Step 2: Convert to fraction form
    707.10/1,055.61 = 597.72/x
  3. Step 3: Cross multiply
    707.10x = 1,055.61 × 597.72
  4. Step 4: Simplify right side
    707.10x = 630,959.21
  5. Step 5: Solve for x
    x = 630,959.21/707.10
  6. Step 6: Final answer
    x = 892.32

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