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Finding the Fourth Proportional to 670.60, 922.98 and 582.76

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Solution

The fourth proportional to 670.60, 922.98 and 582.76 is: 802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.60 : 922.98 = 582.76 : x
  2. Step 2: Convert to fraction form
    670.60/922.98 = 582.76/x
  3. Step 3: Cross multiply
    670.60x = 922.98 × 582.76
  4. Step 4: Simplify right side
    670.60x = 537,875.82
  5. Step 5: Solve for x
    x = 537,875.82/670.60
  6. Step 6: Final answer
    x = 802.08

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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.