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Finding the Fourth Proportional to 696.59, 1,038.76 and 592.10

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Solution

The fourth proportional to 696.59, 1,038.76 and 592.10 is: 882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.59 : 1,038.76 = 592.10 : x
  2. Step 2: Convert to fraction form
    696.59/1,038.76 = 592.10/x
  3. Step 3: Cross multiply
    696.59x = 1,038.76 × 592.10
  4. Step 4: Simplify right side
    696.59x = 615,049.80
  5. Step 5: Solve for x
    x = 615,049.80/696.59
  6. Step 6: Final answer
    x = 882.94

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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.