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Finding the Fourth Proportional to 1,088.11, 1,501.57 and 590.74

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Solution

The fourth proportional to 1,088.11, 1,501.57 and 590.74 is: 815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.11 : 1,501.57 = 590.74 : x
  2. Step 2: Convert to fraction form
    1,088.11/1,501.57 = 590.74/x
  3. Step 3: Cross multiply
    1,088.11x = 1,501.57 × 590.74
  4. Step 4: Simplify right side
    1,088.11x = 887,037.46
  5. Step 5: Solve for x
    x = 887,037.46/1,088.11
  6. Step 6: Final answer
    x = 815.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.